Deck 9: Statistical Inference: Hypothesis Testing for Single Populations

Question 1

Hypotheses are tentative explanations of a principle operating in nature.

Answer 1

True

Question 2

When a false null hypothesis is rejected,the researcher has made a Type II error.

Answer 2

False

Question 3

The probability of type II error becomes bigger if the level of significance is changed from 0.01 to 0.05.

Answer 3

False

Question 4

Whenever hypotheses are established such that the alternative hypothesis is "μ>8",where μ is the population mean,the p-value is the probability of observing a sample mean greater than the observed sample mean assuming that μ=8.

Question 5

The first step in testing a hypothesis is to establish a true null hypothesis and a false alternative hypothesis.

Question 6

In testing hypotheses,the researcher initially assumes that the alternative hypothesis is true and uses the sample data to reject it.

Question 7

Generally speaking,the hypotheses that business researchers want to prove are stated in the alternative hypothesis.

Question 8

The null and the alternative hypotheses must be mutually exclusive and collectively exhaustive.

Question 9

The rejection and nonrejection regions are divided by a point called the critical value.

Question 10

Power is equal to (1 - $\beta$ ),the probability of a test rejecting the null hypothesis that is indeed false.

Question 11

If a null hypothesis was rejected at the 0.025 level of significance,it will be rejected at a 0.01 level of significance based on the same sample results.

Question 12

The rejection region for a hypothesis test becomes smaller if the level of significance is changed from 0.01 to 0.05.

Question 13

The probability of committing a Type I error is called the power of the test.

Question 14

If a null hypothesis is not rejected at the 0.05 level of significance,the p-value is bigger than 0.05

Question 15

If a null hypothesis was not rejected at the 0.10 level of significance,it will be rejected at a 0.05 level of significance based on the same sample results.

Question 16

When a researcher fails to reject a false null hypothesis,a Type II error has been committed.

Question 17

Whenever hypotheses are established such that the alternative hypothesis is "μ≠8",where μ is the population mean,the hypothesis test would be a two-tailed test.

Question 18

Whenever hypotheses are established such that the alternative hypothesis is "μ>8",where μ is the population mean,the hypothesis test would be a two-tailed test.

Question 19

When a true null hypothesis is rejected,the researcher has made a Type I error.

Question 20

In many cases a business researcher gathers data to test a hypothesis about a single population mean and the value of the population standard deviation is unknown.In this case the researcher cannot use the z test.

Question 21

Business researchers sometimes need to test for equality of population variance.The hypothesis test about a population variance is performed using a chi-square test.

Question 22

When using the t test to test a hypothesis about a population mean with an unknown population standard deviation ( $\sigma$ )the degrees of freedom is defined as n-1.

Question 23

The probability of committing a Type II error changes for each alternative value of the parameter.

Question 24

In testing a hypothesis about a population mean with an unknown population standard deviation ( $\sigma$ )the degrees of freedom is used in the denominator of the test statistic.

Question 25

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and an one?tailed test is 1.645.The observed z value from sample data is 1.13.The decision made by the researcher based on this information is to ______ the null hypothesis.

A)reject
B)fail to reject
C)redefine
D)change the alternate hypothesis into
E)restate the null hypothesis

Question 26

Suppose you are testing the null hypothesis that a population mean is less than or equal to 46,against the alternative hypothesis that the population mean is greater than 46.If the sample size is 25, $\sigma$ is known,and alpha = .01,the critical value of z is _______.

A)1.645
B)-1.645
C)1.28
D)-2.33
E)2.33

Question 27

The value of committing a Type II error is defined by the researcher prior to the study.

Question 28

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two?tailed test is +1.96.The observed z value from sample data is -2.11.The decision made by the researcher based on this information is to _____ the null hypothesis.

A)reject
B)fail to reject
C)redefine
D)change the alternate hypothesis into
E)restate the null hypothesis

Question 29

When the population standard deviation ( $\sigma$ )is unknown,the value of s-1 is used to compute the t value.

Question 30

Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60,against the alternative hypothesis that the population mean is less than 60.The sample size is 64 and $\alpha$ = .05.If the sample mean is 58 and the population standard deviation is 16,the observed z value is _______.

A)-1
B)1
C)-8
D)8
E)58

Question 31

In testing a hypothesis about a population variance,the chi-square test is fairly robust to the assumption the population is normally distributed.

Question 32

In conducting z test of proportions,the sample proportion is computed by dividing the number of items being counted by the estimated total population.

Question 33

A z test of proportions is used when a hypothesis test is conducted on a population proportion.

Question 34

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two?tailed test is +1.96.The observed z value from sample data is ?1.85.The decision made by the researcher based on this information is to _____ the null hypothesis.

A)reject
B)fail to reject
C)redefine
D)change the alternate hypothesis into
E)restate the null hypothesis

Question 35

Suppose you are testing the null hypothesis that a population mean is less than or equal to 46,against the alternative hypothesis that the population mean is greater than 46.The sample size is 25 and alpha =.05.If the sample mean is 50 and the population standard deviation is 8,the observed z value is _______.

A)2.5
B)-2.5
C)6.25
D)-6.25
E)12.5

Question 36

In a two-tailed hypothesis about a population mean with a sample size of 100, $\alpha$ is known,and α = 0.05,the rejection region would be _______.

A)z > 1.64
B)z > 1.96
C)z < -1.96 and z > 1.96
D)z < -1.64 and z > 1.64
E)z < -2.33 and z > 2.33

Question 37

Increasing the sample size reduces the probability of committing a Type I and Type II simultaneously.

Question 38

A researcher is testing a hypothesis of a single mean.The critical z value for $\alpha$ = .05 and a two?tailed test is +1.96.The observed z value from sample data is 2.85.The decision made by the researcher based on this information is to _____ the null hypothesis.

A)reject
B)fail to reject
C)redefine
D)change the alternate hypothesis into
E)restate the null hypothesis

Question 39

In a two-tailed hypothesis about a population mean with a sample size of 100, $\sigma$ is known,and alpha = 0.10,the rejection region would be _______.

A)z > 1.64
B)z > 1.28
C)z < -1.28 and z > 1.28
D)z < -1.64 and z > 1.64
E)z < -2.33 and z > 2.33

Question 40

When conducting a hypothesis test is on a population proportion the value of q is defined as p + 1.

Question 41

In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8,a random sample of 25 items is selected.The sample mean is 4.1 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The level of significance is selected to be 0.10.The table "t" value for this problem is _______.

A)1.318
B)1.711
C)2.492
D)2.797
E)3.227

Question 42

A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief,a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem,the alternative hypothesis would be _______.

A)the population proportion is less than 0.30
B)the population proportion is greater than 0.30
C)the population proportion is not equal to 0.30
D)the population mean is less than 40
E)the population mean is greater than 40

Question 43

The weight of a USB flash drive is 30 grams and is normally distributed.Periodically,quality control inspectors at Dallas Flash Drives randomly select a sample of 17 USB flash drives.If the mean weight of the USB flash drives is too heavy or too light the machinery is shut down for adjustment; otherwise,the production process continues.The last sample showed a mean and standard deviation of 31.9 and 1.8 grams,respectively.Using $\alpha$ = 0.10,the appropriate decision is _______.

A)reject the null hypothesis and shut down the process
B)reject the null hypothesis and do not shut down the process
C)fail to reject the null hypothesis and shut down the process
D)fail to reject the null hypothesis and do not shut down the processe)do nothing

Question 44

In performing hypothesis tests about the population mean,if the population standard deviation is not known,a t test can be used to test the mean if _________________.

A)n is small
B)the sample is random
C)the population mean is known
D)the population is normally distributed
E)the population is chi-square distributed

Question 45

A coffee-dispensing machine is supposed to deliver 8 ounces of liquid into each paper cup,but a consumer believes that the actual mean amount is less.The consumer obtained a sample of 16 cups of the dispensed liquid with sample mean of 7.75 ounces and sample variance of 0.81 ounces.If the dispensed liquid delivered per cup is normally distributed,the appropriate decision at α=0.05 is

A)increase the sample size
B)reduce the sample size
C)fail to reject the 8-ounces claim
D)maintain status quo
E)reject the 8-ounces claim

Question 46

The local oil changing business is very busy on Saturday mornings and is considering expanding.A national study of similar businesses reported the mean number of customers waiting to have their oil changed on Saturday morning is 3.6.Suppose the local oil changing business owner,wants to perform a hypothesis test.The null hypothesis is the population mean is 3.6 and the alternative hypothesis that the population mean is not equal to 3.6.The owner takes a random sample of 16 Saturday mornings during the past year and determines the sample mean is 4.2 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The observed "t" value for this problem is _______.

A)0.05
B)0.43
C)1.71
D)1.33
E)0.71

Question 47

The weight of a USB flash drive is 30 grams and is normally distributed.Periodically,quality control inspectors at Dallas Flash Drives randomly select a sample of 17 USB flash drives.If the mean weight of the USB flash drives is too heavy or too light the machinery is shut down for adjustment; otherwise,the production process continues.The last sample showed a mean and standard deviation of 31.9 and 1.8 grams,respectively..The null hypothesis is ______.

A)n $\neq$ 17
B)n = 17
C) $\mu$ = 30
D) $\mu$ $\neq$ 30
E)m ≥ 34.9

Question 48

The local oil changing business is very busy on Saturday mornings and is considering expanding.A national study of similar businesses reported the mean number of customers waiting to have their oil changed on Saturday morning is 3.6.Suppose the local oil changing business owner,wants to perform a hypothesis test.The null hypothesis is the population mean is 3.6 and the alternative hypothesis is the population mean is not equal to 3.6.The owner takes a random sample of 16 Saturday mornings during the past year and determines the sample mean is 4.2 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The level of significance is 0.05.The decision rule for this problem is to reject the null hypothesis if the observed "t" value is _______.

A)less than -2.131 or greater than 2.131
B)less than -1.761 or greater than 1.761
C)less than -1.753 or greater than 1.753
D)less than -2.120 or greater than 2.120
E)less than -3.120 or greater than 3.120

Question 49

A political scientist wants to prove that a candidate is currently carrying more than 60% of the vote in the state.She has her assistants randomly sample 200 eligible voters in the state by telephone and only 90 declare that they support her candidate.The observed z value for this problem is _______.

A)-4.33
B)4.33
C)0.45
D)-.31
E)2.33

Question 50

In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8,a random sample of 25 items is selected.The sample mean is 4.1 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The observed "t" value for this problem is _______.

A)-12.5
B)12.5
C)-2.5
D)-0.7
E)0.7

Question 51

The weight of a USB flash drive is 30 grams and is normally distributed.Periodically,quality control inspectors at Dallas Flash Drives randomly select a sample of 17 USB flash drives.If the mean weight of the USB flash drives is too heavy or too light the machinery is shut down for adjustment; otherwise,the production process continues.The last sample showed a mean and standard deviation of 31.9 and 1.8 grams,respectively.Using $\alpha$ = 0.10,the critical "t" values are _______.

A)-2.120 and 2.120
B)-2.131 and 2.131
C)-1.753 and 1.753
D)-1.746 and 1.746
E)-2.567 and 2.567

Question 52

The local swim team is considering offering a new semi-private class aimed at entry-level swimmers,but needs at minimum number of swimmers to sign up in order to be cost effective.Last year's data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15.Suppose the instructor wants to conduct a hypothesis test.The alternative hypothesis for this hypothesis test is: "the population mean is less than 15".The sample size is 8, $\sigma$ is known,and alpha =.05,the critical value of z is _______.

A)1.645
B)-1.645
C)1.96
D)-1.96
E)2.05

Question 53

A home building company routinely orders standard interior doors with a height of 80 inches.Recently the installers have complained that the doors are not the standard height.The quality control inspector for the home building company is concerned that the manufacturer is supplying doors that are not 80 inches in height.In an effort to test this,the inspector is going to gather a sample of the recently received doors and measure the height.The alternative hypothesis for the statistical test to determine if the doors are not 80 inches is

A)the mean height is > 80 inches
B)the mean height is < 80 inches
C)the mean height is = 80 inches
D)the mean height is ≠ 80 inches
E)the mean height is ≥ 80 inches

Question 54

A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief,a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem,the observed z value would be _______.

A)0.05
B)0.103
C)0.35
D)1.24
E)1.67

Question 55

In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8,a random sample of 25 items is selected.The sample mean is 4.1 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The degrees of freedom associated with this are _______.

A)25
B)24
C)26
D)2
E)1

Question 56

A coffee-dispensing machine is supposed to deliver 8 ounces of liquid into each paper cup,but a consumer believes that the actual mean amount is less.The consumer obtained a sample of 49 cups of the dispensed liquid with average of 7.75 ounces.If the sample variance of the dispensed liquid delivered per cup is 0.81 ounces,and α=0.05,the appropriate decision is ________.

A)increase the sample size
B)reduce the sample size
C)fail to reject the 8-ounces claim
D)maintain status quo
E)reject the 8-ounces claim

Question 57

Jennifer Cantu,VP of Customer Services at Tri-State Auto Insurance,Inc.,monitors the claims processing time of the claims division.Her standard includes "a mean processing time of 5 days or less." Each week,her staff checks for compliance by analyzing a random sample of 60 claims.Jennifer's null hypothesis is ________.

A) $\mu$ > 5
B) $\sigma$ > 5
C)n = 60
D) $\mu$ < 5
E) $\mu$ = 5

Question 58

.The local swim team is considering offering a new semi-private class aimed at entry-level swimmers,but needs a minimum number of swimmers to sign up in order to be cost effective.Last year's data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15.Suppose the instructor wants to conduct a hypothesis test and the alternative hypothesis is "the population mean is greater than 15"If the sample size is 5 $\sigma$ is known,and alpha = .01,the critical value of z is _______.

A)2.575
B)-2.575
C)2.33
D)-2.33
E)2.45

Question 59

In performing a hypothesis test where the null hypothesis is that the population mean is 23 against the alternative hypothesis that the population mean is not equal to 23,a random sample of 17 items is selected.The sample mean is 24.6 and the sample standard deviation is 3.3.It can be assumed that the population is normally distributed.The degrees of freedom associated with this are _______.

A)17
B)16
C)15
D)2
E)1

Question 60

Suppose a researcher is testing a null hypothesis that $\mu$ = 61.A random sample of n = 36 is taken resulting in a sample mean of 63 and s = 9.The observed t value is _______.

A)-0.22
B)0.22
C)1.33
D)8.08
E)7.58

Question 61

Ophelia O'Brien,VP of Consumer Credit of American First Banks (AFB),monitors the default rate on personal loans at the AFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using $\alpha$ = 0.10,the appropriate decision is _______.

A)reduce the sample size
B)increase the sample size
C)reject the null hypothesis
D)fail to reject the null hypothesis
E)do nothing

Question 62

Discrete Components,Inc.manufactures a line of electrical resistors.Presently,the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically,the quality control inspectors check for conformity by randomly selecting 10 resistors from the line,and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using $\alpha$ = 0.05,the null hypothesis is _________________.

A) $\mu$ = 100
B) $\sigma$ $\le$ 10
C)s2 $\ge$ 4
D) $\sigma$ 2 = 4
E)n = 100

Question 63

A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief,a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem,the test would be _______.

A)a one-tailed test
B)a two-tailed test
C)an alpha test
D)a finite population test
E)a finite sample test

Question 64

David Desreumaux,VP of Human Resources of American First Banks (AFB),is reviewing the employee training programs of AFB banks.Based on a recent census of personnel,David knows that the variance of teller training time in the Southeast region is 8,and he wonders if the variance in the Southwest region is the same number.His staff randomly selected personnel files for 15 tellers in the Southwest Region,and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that teller training time is normally distributed.Using $\alpha$ = 0.10,the appropriate decision is ________.

A)increase the sample size
B)reduce the sample size
C)fail to reject the null hypothesis
D)maintain status quo
E)reject the null hypothesis

Question 65

Elwin Osbourne,CIO at GFS,Inc.,suspects that at least 25% of e-mail messages sent by GFS employees are not business related.A random sample of 300 e-mail messages was selected to test this hypothesis at the 0.01 level of significance.Sixty of the messages were not business related.The appropriate decision is _______.

A)increase the sample size
B)gather more data
C)maintain status quo
D)fail to reject the null hypothesis
E)reject the null hypothesis

Question 66

Elwin Osbourne,CIO at GFS,Inc.,suspects that at least 25% of e-mail messages sent by GFS employees are not business related.A random sample of 300 e-mail messages was selected to test this hypothesis at the 0.01 level of significance.Fifty-four of the messages were not business related.The appropriate decision is _______.

A)increase the sample size
B)gather more data
C)reject the null hypothesis
D)fail to reject the null hypothesis
E)maintain status quo

Question 67

David Desreumaux,VP of Human Resources of American First Banks (AFB),is reviewing the employee training programs of AFB banks.Based on a recent census of personnel,David knows that the variance of teller training time in the Southeast region is 8,and he wonders if the variance in the Southwest region is the same number.His staff randomly selected personnel files for 15 tellers in the Southwest Region,and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that teller training time is normally distributed.Using $\alpha$ = 0.10,the null hypothesis is ________.

A) $\mu$ = 25
B) $\sigma$ 2 = 8
C) $\sigma$ 2 = 4
D) $\sigma$ 2 $\le$ 8
E)s² = 16

Question 68

Ophelia O'Brien,VP of Consumer Credit of American First Banks (AFB),monitors the default rate on personal loans at the AFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 38 defaulted loans.Using $\alpha$ = 0.10,the appropriate decision is _______.

A)reduce the sample size
B)increase the sample size
C)reject the null hypothesis
D)fail to reject the null hypothesis
E)do nothing

Question 69

David Desreumaux,VP of Human Resources of American First Banks (AFB),is reviewing the employee training programs of AFB banks.Based on a recent census of personnel,David knows that the variance of teller training time in the Southeast region is 8,and he wonders if the variance in the Southwest region is the same number.His staff randomly selected personnel files for 15 tellers in the Southwest Region,and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that teller training time is normally distributed.Using $\alpha$ = 0.10,the observed value of chi-square is ________.

A)28.00
B)30.00
C)56.00
D)60.00
E)65.00

Question 70

The executives of CareFree Insurance,Inc.feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance.Ninety employees rate the management as participatory.The appropriate decision is __________.

A)fail to reject the null hypothesis
B)reject the null hypothesis
C)reduce the sample size
D)increase the sample size
E)maintain status quo

Question 71

Discrete Components,Inc.manufactures a line of electrical resistors.Presently,the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically,the quality control inspectors check for conformity by randomly select 10 resistors from the line,and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using $\alpha$ = 0.05,the observed value of chi-square is _________________.

A)1.74
B)1.94
C)10.90
D)9.81
E)8.91

Question 72

Discrete Components,Inc.manufactures a line of electrical resistors.Presently,the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically,the quality control inspectors check for conformity by randomly select 10 resistors from the line,and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using $\alpha$ = 0.05,the appropriate decision is _________________.

A)increase the sample size
B)reduce the sample size
C)reject the null hypothesis
D)fail to reject the null hypothesis
E)maintain status quo

Question 73

Discrete Components,Inc.manufactures a line of electrical resistors.Presently,the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically,the quality control inspectors check for conformity by randomly select 10 resistors from the line,and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using $\alpha$ = 0.05,the critical value of chi-square is _________________.

A)18.31
B)16.92
C)3.94
D)3.33
E)19.82

Question 74

Elwin Osbourne,CIO at GFS,Inc.,suspects that at least 25% of e-mail messages sent by GFS employees are not business related.A random sample of 300 e-mail messages was selected to test this hypothesis at the 0.01 level of significance.Fifty-four of the messages were not business related.The null hypothesis is ____.

A) $\beta$ = 30
B)n = 300
C)p < 0.25
D)p ≠ 0.25
E)p = 0.25

Question 75

The executives of CareFree Insurance,Inc.feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance.Eighty employees rate the management as participatory.The appropriate decision is __________.

A)fail to reject the null hypothesis
B)reject the null hypothesis
C)reduce the sample size
D)increase the sample size
E)do nothing

Question 76

David Desreumaux,VP of Human Resources of American First Banks (AFB),is reviewing the employee training programs of AFB banks.Based on a recent census of personnel,David knows that the variance of teller training time in the Southeast region is 8,and he wonders if the variance in the Southwest region is the same number.His staff randomly selected personnel files for 15 tellers in the Southwest Region,and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that teller training time is normally distributed.Using $\alpha$ = 0.10,the critical values of chi-square are ________.

A)7.96 and 26.30
B)6.57 and 23.68
C)-1.96 and 1.96
D)-1.645 and 1.645
E)-6.57 and 23.68

Question 77

Ophelia O'Brien,VP of Consumer Credit of American First Banks (AFB),monitors the default rate on personal loans at the AFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using $\alpha$ = 0.10,the critical z value is _______.

A)1.645
B)-1.645
C)1.28
D)-1.28
E)2.28

Question 78

Ophelia O'Brien,VP of Consumer Credit of American First Banks (AFB),monitors the default rate on personal loans at the AFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Ophelia's null hypothesis is _______.

A)p > 0.05
B)p = 0.05
C)n = 30
D)n = 500
E)n = 0.05

Question 79

Ophelia O'Brien,VP of Consumer Credit of American First Banks (AFB),monitors the default rate on personal loans at the AFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using $\alpha$ = 0.10,the observed z value is _______.

A)1.03
B)-1.03
C)0.046
D)-0.046
E)1.33

Question 80

The executives of CareFree Insurance,Inc.feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance.Eighty employees rate the management as participatory.The null hypothesis is __________.

A)n = 30
B)n = 200
C)p = 0.50
D)p < 0.50
E)n > 200