Deck 9: Weight Management and Body Image

Question 1

Many hotel chains that offer free Wi- Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. Marriott International would like to test the hypothesis that the proportion of customers that are carrying two Wi- Fi devices exceeds 0.60. A random sample of 120 Marriott customers found that 78 have two Wi- Fi devices. Marriott International would like to set α = 0.01. The test statistic for this hypothesis test would be --------.

A)z_p = 2.03
B)z_p =1.80
C)z_p = 1.58
D)z_p = 1.12

Answer 1

z_p = 2.03

Question 2

Many franchisers favor owners who operate multiple stores by providing them with preferential treatment. Suppose the Small Business Administration would like to perform a hypothesis test to investigate if 80% of franchisees own only one location using α = 0.05. A random sample of 120 franchisees found that 85 owned only one store. The test statistic for this hypothesis test would be .

A)z_p = - 1.17
B)z_p = 2.52
C)z_p = 1.46
D)z_p = - 1.82

Answer 2

z_p = 2.52

Question 3

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set ? = 0.02. The test statistic for this hypothesis test would be --------- .

A) $$t \bar { x }$$ = 1.89
B) $$z \bar { x }$$ = 2.23
C) $$z \bar { x }$$ = 1.70
D) $$t \bar { x }$$ = 2.06

Answer 3

$$z \bar { x }$$ = 1.70

Question 4

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes. A Type II error would occur if the professor concludes that the average exam time is ___________.

A)equal to 45 minutes when, in reality, the average time is not equal to 45 minutes.
B)not equal to 45 minutes when, in reality, the average time is greater than 45 minutes.
C)not equal to 45 minutes when, in reality, the average time is equal to 45 minutes.
D)equal to 45 minutes when, in reality, the average time is less than 45 minutes.

Question 5

Many franchisers favor owners who operate multiple stores by providing them with preferential treatment. Suppose the Small Business Administration would like to perform a hypothesis test to investigate if 80% of franchisees own only one location using α = 0.05. A random sample of 120 franchisees found that 85 owned only one store. The p- value for this hypothesis test would be------ .

A)0.0118
B)0.0759
C)0.1236
D)0.0320

Question 6

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is______

A)less than the absolute value of the critical value, we cannot conclude that the average student debt load is not equal to $17,000.
B)more than the absolute value of the critical value, we can conclude that the average student debt load is not equal to $17,000.
C)more than the absolute value of the critical value, we cannot conclude that the average student debt load is not equal to $17,000.
D)less than the absolute value of the critical value, we can conclude that the average student debt load is not equal to $17,000.

Question 7

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The p- value for this hypothesis test would be -------.

A)0.0245
B)0.0719
C)0.0150
D)0.0446

Question 8

The National Association of Realtors reported that 26% of home buyers in the state of Florida are foreigners. When testing the validity of this report, a Type II error would occur if it was concluded that the proportion of foreign buyers was __________ .

A)equal to 26% when, in reality, the proportion was not equal to 26%.
B)not equal to 26% when, in reality, the proportion was equal to 26%.
C)more than 26% when, in reality, the proportion was 26% or less.
D)26% or less when, in reality, the proportion was more than 26%.

Question 9

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The conclusion for this hypothesis test would be that because the test statistic is ----

A)less than the critical value, we cannot conclude that the average age of Zappos employees is less than 36 years old.
B)more than the critical value, we cannot conclude that the average age of Zappos employees is less than 36 years old.
C)less than the critical value, we can conclude that the average age of Zappos employees is less than 36 years old.
D)more than the critical value, we can conclude that the average age of Zappos employees is less than 36 years old.

Question 10

A Type I error occurs in hypothesis testing when we _______.

A)fail to reject the alternative hypothesis and the alternative hypothesis is false
B)reject the alternative hypothesis and the alternative hypothesis is true
C)reject the null hypothesis and the null hypothesis is true
D)fail to reject the null hypothesis and the null hypothesis is false

Question 11

A golfer claims that his average golf score at the course he plays regularly is less than 90. The correct hypothesis statement for this golfer to prove his claim would be

A)H0: µ = 90; H1: µ × 90.
B)H0: µ × 90; H1: µ = 90.
C)H0: µ c 90; H1: µ < 90.
D)H0: µ c 90; H1: µ c 90.

Question 12

A golfer claims that his average golf score at the course he plays regularly is less than 90. A random sample of 35 rounds of golf was selected and the scores were recorded. Assume that the standard deviation for the population of scores for this golfer is 3.4 and the true population mean for scores for this golfer is 88.2. Using α = 0.05, beta equals -----.

A)0.0694
B)0.1292
C)0.1895
D)0.0944

Question 13

The critical value for a hypothesis test ______________.

A)represents the number of standard deviations between the sample mean and the population mean according to the alternative hypothesis
B)determines the observed level of significance
C)represents the number of standard deviations between the sample mean and the population mean according to the null hypothesis
D)is based on the significance level and determines the boundary for the rejection region

Question 14

Many franchisers favor owners who operate multiple stores by providing them with preferential treatment. Suppose the Small Business Administration would like to perform a hypothesis test to investigate if 80% of franchisees own only one location using α = 0.05. A random sample of 120 franchisees found that 85 owned only one store. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is-----

A)more than the absolute value of the critical value, we can conclude that the proportion of franchisees that own only one store equals 0.80.
B)less than the absolute value of the critical value, we cannot conclude that the proportion of franchisees that own only one store does not equal 0.80.
C)more than the absolute value of the critical value, we can conclude that the proportion of franchisees that own only one store does not equal 0.80.
D)less than the absolute value of the critical value, we can conclude that the proportion of franchisees that own only one store does not equal 0.80.

Question 15

Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 ounces if ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set α = 0.10. The p-value for this hypothesis test would be between _______ .

A)0.02 and 0.05
B)0.10 and 0.20
C)0.05 and 0.10
D)0.01 and 0.02

Question 16

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The test statistic for this hypothesis test would be _______ .

A)zp = 2.17
B)zp = 1.36
C)zp = - 1.55
D)zp = - 1.21

Question 17

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. Which one of the following statements is true?

A)Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average debt load is not equal to $17,000.
B)Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average debt load is not equal to $17,000.
C)Because the p-value is greater than α, we fail to reject the null hypothesis and conclude that the average debt load is equal to $17,000.
D)Because the p-value is less than α, we reject the null hypothesis and conclude that the average debt load is equal to $17,000.

Question 18

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. The critical value for this hypothesis test would be _____ .

A)2.33
B)1.645
C)1.28
D)1.96

Question 19

Recently, Experian reported that the average credit score for a new- car loan was 753. Suppose Ally Financial, a bank holding company that finances car loans, would like to test the hypothesis that the average credit score has increased since the Experian report. A random sample of 20 new- car loans had an average credit score of 764.2 with a sample standard deviation of 34.5. Ally Financial would like to set α = 0.05. The test statistic for this hypothesis test would be ----- .

A)t x = 2.31
B)t x = 1.45
C)z x = 2.04
D)z x = 1.25

Question 20

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The correct hypothesis statement for this hypothesis test would be ____

A)H₀: µ = 36; H1: µ × 36.
B)H₀: µ c 36; H1: µ < 36.
C)H₀: µ c 36; H1: µ > 36.
D)H₀: µ = 33.9; H1: µ × 33.9.

Question 21

Many franchisers favor owners who operate multiple stores by providing them with preferential treatment. Suppose the Small Business Administration would like to perform a hypothesis test to investigate if 80% of franchisees own only one location using α = 0.05. A random sample of 120 franchisees found that 85 owned only one store. Which one of the following statements is true?

A)Because the p- value is greater than α, we fail to reject the null hypothesis and cannot conclude that the proportion of franchisees that own only one store does not equal 0.80.
B)Because the p- value is greater than α, we fail to reject the null hypothesis and conclude that the proportion of franchisees that own only one store equals 0.80.
C)Because the p- value is less than α, we reject the null hypothesis and conclude that the proportion of franchisees that own only one store does not equal 0.80.
D)Because the p- value is less than α, we fail to reject the null hypothesis and cannot conclude that the proportion of franchisees that own only one store does not equal 0.80.

Question 22

The probability of a Type II error is denoted as ______.

A)beta
B)rho
C)alpha
D)sigma

Question 23

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. The correct hypothesis statement to test for this vacancy rate would be _____.

A)H₀: p = 0.08; H₁: p < 0.08
B)H₀: p c 0.08; H₁: p > 0.08
C)H₀: p × 0.08; H₁: p = 0.08
D)H₀: p = 0.08; H₁: p × 0.08

Question 24

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. Which one of the following statements is true?

A)Because the p- value is less than α, we fail to reject the null hypothesis and conclude that the average length of an online video is less than 8 minutes.
B)Because the p- value is less than α, we reject the null hypothesis and conclude that the average length of an online video is more than 8 minutes.
C)Because the p- value is greater than α, we reject the null hypothesis and conclude that the average length of an online video is more than 8 minutes.
D)Because the p- value is greater than α, we fail to reject the null hypothesis and conclude that the average length of an online video is not more than 8 minutes.

Question 25

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The correct hypothesis statement for this hypothesis test would be ________ .

A)H₀: µ = 8.0; H₁: µ × 8.0
B)H₀: µ c 8.0; H₁: µ < 8.0
C)H₀: µ × 8.0; H₁: µ = 8.0
D)H₀: µ c 8.0; H₁: µ > 8.0

Question 26

A golfer claims that his average golf score at the course he plays regularly is less than 90. A Type I error would occur if the golfer concludes that the average score is _________________________________.

A)90 or more when, in reality, the average score is less than 90
B)90 or less when, in reality, the average score is equal to 90
C)more than 90 when, in reality, the average score is equal to 90
D)less than 90 when, in reality, the average score is 90 or more

Question 27

Travelocity would like to test if the average roundtrip airfare between New York and London is less than $1,400. A Type I error would occur if Travelocity concludes that the average airfare is __________________________________________.

A)$1,400 or more when, in reality, the average airfare is less than $1,400
B)less than $1,400 when, in reality, the average airfare is $1,400 or more
C)not equal to $1,400 when, in reality, the average airfare is equal to $1,400
D)equal to $1,400 when, in reality, the average airfare is not equal $1,400 or more

Question 28

Expedia would like to test the hypothesis that the proportion of Southwest Airline flights that arrive on- time is less than 0.90. A random sample of 140 United Airline flights found that 119 arrived on- time. Expedia would like to set α = 0.05. The conclusion for this hypothesis test would be that because the test statistic is ________.

A)less than the critical value, we can conclude that the proportion of United Airline flights that
B)more than the critical value, we can conclude that the proportion of United Airline flights that arrive on- time is more than 0.90
C)less than the critical value, we can cannot conclude that the proportion of United Airline flights that arrive on- time is less than 0.90
D)more than the critical value, we cannot conclude that the proportion of United Airline flights that arrive on- time is less than 0.90

Question 29

Recently, Experian reported that the average credit score for a new- car loan was 753. Suppose Ally Financial, a bank holding company that finances car loans, would like to test the hypothesis that the average credit score has increased since the Experian report. A random sample of 20 new- car loans had an average credit score of 764.2 with a sample standard deviation of 34.5. Ally Financial would like to set α = 0.05. The critical value for this hypothesis test would be _______.

A)1.729
B)1.282
C)2.080
D)2.977

Question 30

Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 ounces if ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set ? = 0.10. The test statistic for this hypothesis test would be _______.

A) $$t \bar { x }$$ = 1.19
B) $$t \bar { x }$$ = 2.11
C) $$z \bar { x }$$ = 1.83
D) $$z \bar { x }$$ = 2.49

Question 31

The critical value for a two-tail hypothesis test when the population standard deviation is known, the sample size is 30 or more, and α = 0.01 is ________.

A)2.575
B)2.96
C)2.33
D)2.05

Question 32

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A Type I error would occur if CoStar concludes that the vacancy rate was __________.

A)8% or less when, in reality, the proportion was more than 8%
B)not equal to 8% when, in reality, the proportion was equal to 8%
C)equal to 8% when, in reality, the proportion was 8% or less
D)more than 8% when, in reality, the proportion was 8% or less

Question 33

Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games)is more than 30 years old. A Type I error would occur if Entertainment Software Association concludes that the average age of gamers is __________________________________________.

A)greater than 30 years when, in reality, the average age is 30 years or less
B)30 years or less when, in reality, the average age is more than 30 years
C)not equal to 30 years when, in reality, the average age is equal to 30 years
D)equal to 30 years when, in reality, the average age is not equal to 30 years

Question 34

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is ______.

A)less than the absolute value of the critical value, we cannot conclude that the proportion of Bachelor's degrees that were earned by women does not equal 0.60.
B)less than the absolute value of the critical value, we can conclude that the proportion of Bachelor's degrees that were earned by women does not equal 0.60.
C)more than the absolute value of the critical value, we can conclude that the proportion of Bachelor's degrees that were earned by women equals 0.60.
D)more than the absolute value of the critical value, we can conclude that the proportion of Bachelor's degrees that were earned by women does not equal 0.60.

Question 35

The p-value for a hypothesis test is defined as the probability of observing a ___________________________________________________.

A)population mean at least as extreme as the one selected for the hypothesis test, assuming the alternative hypothesis is true
B)sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true
C)critical value at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true
D)critical value at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is false

Question 36

The National Association of Realtors reported that 26% of home buyers in the state of Florida are foreigners. When testing the validity of this report, a Type I error would occur if it was concluded that the proportion of foreign buyers was ______ .

A)more than 26% when, in reality, the proportion was 26% or less.
B)26% or less when, in reality, the proportion was more than 26%.
C)not equal to 26% when, in reality, the proportion was equal to 26%.
D)equal to 26% when, in reality, the proportion was not equal to 26%.

Question 37

If the purpose of the hypothesis test is to establish that a population parameter is equal to or not equal to a specific value, the ______.

A)c or c statement is always assigned to the alternative hypothesis
B)× statement is always assigned to the null hypothesis
C)equality statement is always assigned to the null hypothesis
D)equality statement is always assigned to the alternative hypothesis

Question 38

Recently, Experian reported that the average credit score for a new- car loan was 753. Suppose Ally Financial, a bank holding company that finances car loans, would like to test the hypothesis that the average credit score has increased since the Experian report. A random sample of 20 new- car loans had an average credit score of 764.2 with a sample standard deviation of 34.5. Ally Financial would like to set α = 0.05. The p- value for this hypothesis test would be between ______.

A)0.10 and 0.20
B)0.05 and 0.10
C)0.01 and 0.025
D)0.025 and 0.05

Question 39

A Type II error occurs in hypothesis testing when we _______.

A)fail to reject the alternative hypothesis and the alternative hypothesis is not true
B)reject the null hypothesis and the null hypothesis is true
C)fail to reject the null hypothesis and the null hypothesis is not true
D)reject the alternative hypothesis and the alternative hypothesis is true

Question 40

Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 ounces if ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set α = 0.10. The conclusion for this hypothesis test would be that because the test statistic is ________________________________.

A)less than the critical value, we can conclude that the average amount of ice cream consumed per month is greater than 17 ounces
B)more than the critical value, we can conclude that the average amount of ice cream consumed per month is greater than 17 ounces
C)more than the critical value, we can conclude that the average amount of ice cream consumed per month is not greater than 17 ounces
D)less than the critical value, we cannot conclude that the average amount of ice cream consumed per month is greater than 17 ounces

Question 41

Many hotel chains that offer free Wi- Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. Marriott International would like to test the hypothesis that the proportion of customers that are carrying two Wi- Fi devices exceeds 0.60. A random sample of 120 Marriott customers found that 78 have two Wi- Fi devices. Marriott International would like to set α = 0.01. Which one of the following statements is true?

A)Because the p- value is greater than α, we fail to reject the null hypothesis and conclude that the proportion of Marriott customers that carry two Wi- Fi devices is not more than 0.60.
B)Because the p- value is less than α, we reject the null hypothesis and conclude that the proportion of Marriott customers that carry two Wi- Fi devices is greater than 0.60.
C)Because the p- value is less than α, we fail to reject the null hypothesis and cannot conclude that the proportion of Marriott customers that carry two Wi- Fi devices is less than 0.60.
D)Because the p- value is greater than α, we reject the null hypothesis and cannot conclude that the proportion of Marriott customers that carry two Wi- Fi devices is greater than 0.60.

Question 42

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. Which one of the following statements is true?

A)Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old.
B)Because the p-value is greater than α, we reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old.
C)Because the p-value is less than α, we reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old.
D)Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old.

Question 43

When conducting a hypothesis test for the population mean when sigma is known and the sample size is 30 or more, the test statistic follows the _______.

A)Student's t-distribution
B)normal distribution
C)exponential distribution
D)binomial distribution

Question 44

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The correct hypothesis statement for this hypothesis test would be _________.

A)H₀: p = 0.60; H₁: p × 0.60.
B)H₀: p c 0.60; H₁: p > 0.60.
C)H₀: p > 0.60; H₁: p c 0.60.
D)H₀: p × 0.60; H₁: p = 0.60.

Question 45

The power of the hypothesis test is the probability of of ________.

A)correctly rejecting the null hypothesis.
B)incorrectly rejecting the null hypothesis.
C)incorrectly rejecting the alternative hypothesis.
D)correctly rejecting the alternative hypothesis.

Question 46

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. The p-value for this hypothesis test would be
-----.

A)0.0950
B)0.0219
C)0.0475
D)0.1310

Question 47

Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games)is more than 30 years old. The correct hypothesis statement for Entertainment Software Association would be ____

A)H₀: µ = 30; H₁: µ × 30.
B)H₀: µ c 30; H₁: µ < 30.
C)H₀: µ c 30; H₁: µ > 30.
D)H₀: µ × 30; H₁: µ = 30.

Question 48

The test statistic for a hypothesis test _______.

A)is based on the significance level and determines the boundary for the rejection region
B)represents the number of standard deviations between the sample mean and the population mean according to the null hypothesis
C)represents the number of standard deviations between the sample mean and the population mean according to the alternative hypothesis
D)determines the observed level of significance

Question 49

Many hotel chains that offer free Wi-Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. Marriott International would like to test the hypothesis that the proportion of customers that are carrying two Wi-Fi devices exceeds 0.40. A random sample of 130 Marriott customers found that 63 have two Wi-Fi devices. Marriott International would like to set α = 0.05. The conclusion for this hypothesis test would be that because the test statistic is _________.

A)less than the critical value, we can conclude that the proportion of Marriott customers that carry two Wi- Fi devices is greater than 0.60
B)more than the critical value, we can conclude that the proportion of Marriott customers that carry two Wi- Fi devices is less than 0.60
C)more than the critical value, we can conclude that the proportion of Marriott customers that carry two Wi- Fi devices is greater than 0.60
D)less than the critical value, we can conclude that the proportion of Marriott customers that

Question 50

Many franchisers favor owners who operate multiple stores by providing them with preferential treatment. Suppose the Small Business Administration would like to perform a hypothesis test to investigate if 80% of franchisees own only one location using α = 0.05. A random sample of 120 franchisees found that 85 owned only one store. The correct hypothesis statement for this hypothesis test would be
--------.

A)H₀: p c 0.80; H₁: p > 0.80
B)H₀: p = 0.80; H₁: p × 0.80
C)H₀: p > 0.80; H₁: p c 0.80
D)H₀: p × 0.80; H₁: p = 0.80

Question 51

Expedia would like to test the hypothesis that the proportion of Southwest Airline flights that arrive on- time is less than 0.90. A random sample of 140 United Airline flights found that 119 arrived on- time. Expedia would like to set ? = 0.05. The test statistic for this hypothesis test would be ______.

A) $${ } ^ { 2 } v$$ = - 1.97
B) $${ } ^ { 2 } v$$ = - 1.22
C) $${ } ^ { 2 } v$$ = - 2.67
D) $${ } ^ { 2 } v$$ = - 2.30

Question 52

The National Association of Realtors would like to test the hypothesis that 26% of home buyers in the state of Florida are foreigners. A random sample of 110 home buyers was selected and the number of foreigners was counted. Assume that the true proportion of home buyers that are foreigners is 0.216. Using α = 0.10, beta equals ______.

A)0.7222
B)0.2273
C)0.8615
D)0.5012

Question 53

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 years. A random sample of 45 cars had an average age of 10.6 years. It is believed that the population standard deviation for the age of cars is 4.1 years. The Department of Transportation would like to set ? = 0.05. The test statistic for this hypothesis test would be .

A) $$z \bar { x }$$ = - 2.29
B) $$z \bar { x }$$ = - 1.04
C) $$z \bar { x }$$ = - 2.11
D) $$z \bar { x }$$ = 1.90

Question 54

Expedia would like to test the hypothesis that the proportion of Southwest Airline flights that arrive on- time is less than 0.90. A random sample of 140 United Airline flights found that 119 arrived on- time. Expedia would like to set α = 0.05. Which one of the following statements is true?

A)Because the p- value is less than α, we reject the null hypothesis and conclude that the proportion of United Airline flights that arrive on- time is less than 0.90.
B)Because the p- value is greater than α, we reject the null hypothesis and cannot conclude that the proportion of United Airline flights that arrive on- time is less than 0.90.
C)Because the p- value is greater than α, we fail to reject the null hypothesis and cannot conclude that the proportion of United Airline flights that arrive on- time is less than 0.90.
D)Because the p- value is less than α, we fail to reject the null hypothesis and cannot conclude that the proportion of United Airline flights that arrive on- time is less than 0.90.

Question 55

YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The conclusion for this hypothesis test would be that because the test statistic is
-------
.

A)more than the critical value, we can conclude that the average length of an online video is
B)less than the critical value, we can conclude that the average length of an online video is more than 8 minutes
C)less than the critical value, we can conclude that the average length of an online video is not more than 8 minutes
D)more than the critical value, we can conclude that the average length of an online video is not more than 8 minutes

Question 56

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set ? = 0.05. The correct hypothesis statement for this hypothesis test would be _____

A)H₀: µ × $17,000; H₁: µ = $17,000.
B)H₀: µ c $17,000; H₁: µ < $17,000.
C)H₀: µ = $17,000; H₁: µ × $17,000.
D)H₀: $$\bar { x }$$ = $17,000; H₁: $$\bar { x }$$ ×$17,000.

Question 57

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set ? = 0.025. The test statistic for this hypothesis test would be .

A) $$t \bar { x }$$ = - 2.40
B) $$t \bar { x }$$ = - 1.87
C) $$z \bar { x }$$ = - 1.19
D) $$z \bar { x }$$ = - 2.66

Question 58

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The critical value for this hypothesis test would be ______.

A)1.645
B)2.33
C)1.28
D)1.96

Question 59

Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games)is more than 30 years old. A Type II error would occur if Entertainment Software Association concludes that the average age of gamers is

A)is not equal to 30 years when, in reality, the average age is equal to 30 years.
B)is equal to 30 years when, in reality, the average age is not equal to 30 years.
C)30 years or less when, in reality, the average age is more than 30 years.
D)greater than 30 years when, in reality, the average age is 30 years or less.

Question 60

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.05. Which one of the following statements is true?

A)Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
B)Because the p-value is less than α, we reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
C)Because the p-value is greater than α, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is equal to $3,300.
D)Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Question 61

Expedia would like to test the hypothesis that the proportion of Southwest Airline flights that arrive on- time is less than 0.90. A random sample of 140 United Airline flights found that 119 arrived on- time. Expedia would like to set α = 0.05. The critical value for this hypothesis test would be
-------.

A)2.33
B)1.645
C)2.05
D)1.28

Question 62

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The critical value for this hypothesis test would be ______.

A)2.080
B)2.977
C)1.282
D)1.771

Question 63

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A random sample of 85 warehouse stores was selected and the number of vacant stores was counted. Assume that the true population proportion of vacant warehouse stores is 0.125. Using α = 0.05, beta equals _______.

A)0.7188
B)0.5557
C)0.3627
D)0.4091

Question 64

The probability of a Type I error is denoted as ________.

A)rho
B)alpha
C)sigma
D)beta

Question 65

A golfer claims that his average golf score at the course he plays regularly is less than 90. A Type II error would occur if the golfer concludes that the average score is __________________________________.

A)less than 90 when, in reality, the average score is 90 or more
B)more than 90 when, in reality, the average score is equal to 90
C)90 or less when, in reality, the average score is equal to 90
D)90 or more when, in reality, the average score is less than 90

Question 66

Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 ounces if ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set α = 0.10. The critical value for this hypothesis test would be ______.

A)2.624
B)2.145
C)1.345
D)1.782

Question 67

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The p-value for this hypothesis test would be _______.

A)0.1008
B)0.0380
C)0.1212
D)0.0174

Question 68

Travelocity would like to test if the average roundtrip airfare between New York and London is less than $1,400. The correct hypothesis statement for this test would be _.

A)H₀: µ < $1,400; H₁: µ c $1,400
B)H₀: µ × $1,400; H₁: µ = $1,400
C)H₀: µ c $1,400; H₁: µ < $1,400
D)H₀: µ = $1,400; H₁: µ × $1,400

Question 69

Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games)is more than 30 years old. A random sample of 33 gamers was selected and their ages were recorded. Assume that the standard deviation for the population of the age of gamers is 4.7 years and the true population mean for the age of gamers is 31.2 years. Using α = 0.02, beta equals ______.

A)0.7224
B)0.0434
C)0.2918
D)0.1247

Question 70

The critical value for a one-tail hypothesis test when the population standard deviation is known, the sample size is 30 or more, and α = 0.01 is ________.

A)2.575
B)2.96
C)2.05
D)2.33

Question 71

Recently, Experian reported that the average credit score for a new- car loan was 753. Suppose Ally Financial, a bank holding company that finances car loans, would like to test the hypothesis that the average credit score has increased since the Experian report. A random sample of 20 new- car loans had an average credit score of 764.2 with a sample standard deviation of 34.5. Ally Financial would like to set α = 0.05. The conclusion for this hypothesis test would be that because the test statistic is _________.

A)less than the critical value, we cannot conclude that the average credit score for a new- car loan is not more than 753
B)more than the critical value, we cannot conclude that the average credit score for a new- car loan is not more than 753
C)more than the critical value, we can conclude that the average credit score for a new- car loan is more than 753
D)less than the critical value, we can conclude that the average credit score for a new- car loan is more than 753

Question 72

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes. A random sample of 40 students was selected and the number of minutes needed to complete the exam was recorded. Assume that the standard deviation for the population of students taking the exam is 5.7 minutes and the true population mean for taking an exam is 45.8 minutes. Using α = 0.05, beta equals ________.

A)0.4215
B)0.6670
C)0.1987
D)0.8577

Question 73

The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. The test statistic for this hypothesis test would be ______.

A)t x = 1.89
B)z x = 2.23
C)z x = 1.67
D)t x = - 2.06

Question 74

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.05. The critical value for this hypothesis test would be _______.

A)1.645
B)2.201
C)2.761
D)1.985

Question 75

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The p-value for this hypothesis test would be between ______.

A)0.025 and 0.05
B)0.05 and 0.10
C)0.10 and 0.20
D)0.01 and 0.025

Question 76

Recently, Experian reported that the average credit score for a new- car loan was 753. Suppose Ally Financial, a bank holding company that finances car loans, would like to test the hypothesis that the average credit score has increased since the Experian report. A random sample of 20 new- car loans had an average credit score of 764.2 with a sample standard deviation of 34.5. Ally Financial would like to set α = 0.05. Which one of the following statements is true?

A)Because the p- value is less than α, we fail to reject the null hypothesis and conclude that the
B)Because the p- value is less than α, we reject the null hypothesis and cannot conclude that the average credit score for a new- car loan is more than 753.
C)Because the p- value is greater than α, we reject the null hypothesis and conclude that the average credit score for a new- car loan is more than 753.
D)Because the p- value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average credit score for a new- car loan is more than 753.

Question 77

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.05. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is ______

A)more than the absolute value of the critical value, we cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
B)more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
C)less than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.
D)less than the absolute value of the critical value, we cannot conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Question 78

Many hotel chains that offer free Wi- Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. Marriott International would like to test the hypothesis that the proportion of customers that are carrying two Wi- Fi devices exceeds 0.60. A random sample of 120 Marriott customers found that 78 have two Wi- Fi devices. Marriott International would like to set α = 0.01. The p- value for this hypothesis test would be ______ .

A)0.1314
B)0.0207
C)0.0766
D)0.0440

Question 79

Many hotel chains that offer free Wi- Fi service to their customers have experienced increasing demand for Internet bandwidth and increasing costs. Marriott International would like to test the hypothesis that the proportion of customers that are carrying two Wi- Fi devices exceeds 0.60. A random sample of 120 Marriott customers found that 78 have two Wi- Fi devices. Marriott International would like to set α = 0.01. The correct hypothesis statement for this hypothesis test would be _______.

A)H₀: p c 0.60; H₁: p > 0.60.
B)H₀: p × 0.60; H₁: p > 0.60.
C)H₀: p c 0.60; H₁: p × 0.60.
D)H₀: p > 0.60; H₁: p c 0.60.

Question 80

Travelocity would like to test if the average roundtrip airfare between New York and London is less than $1,400. A random sample of 30 flights between New York and London was selected and the airfare was recorded. Assume that the standard deviation for the population of airfares between these two cities is $230 and the true population mean for airfare is $1,330. Using α = 0.10, beta equals ________ .

A)0.3483
B)0.2730
C)0.2483
D)0.1655