Deck 13: Inference for Counts: Chi-Square

Question 1

An online book store wants to determine if there is an association between coupon redemption and gender.After a special coupon broadcast to its reward members, the
Following data on coupon redemption at check out were collected.Which chi-square test
Is most appropriate for this situation?

A)Goodness of Fit
B)Homogeneity
C)Independence
D)Proportional
E)None of the above.

Answer 1

C

Question 2

A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area.Historically, 15% of purchases
Were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
For commercial properties and 5% for land.With changing demographics, the agency
Wondered if the current distribution matches the historical distribution.Recent data
Showed the following: 12
Which chi-square test is most appropriate for this situation?

A)Goodness of Fit
B)Homogeneity
C)Independence
D)Proportional
E)None of the above.

Answer 2

A

Question 3

An online book store wants to determine if there is an association between coupon redemption and gender.After a special coupon broadcast to its reward members, the
Following data on coupon redemption at check out were collected. The correct value of the test statistic is 13-12 Chapter 13 Inference for Counts: Chi-Square Tests
13)6.Apply the chi-square test of independence to test for an association.

Answer 3

A

Question 4

Consider the following to answer questions
Vending machines on a college campus offer a variety of drinks.The purchasing agent
believes that each type of drink is equally preferred by students and consequently orders
equal quantities.The number of drinks sold from vending machines on this campus for
the last six months is shown in the following table.
The correct null hypothesis to test if the purchasing agent is correct can be worded as

A)The types of drinks are not uniformly distributed among the students buying drinks.
B)The types of drinks are uniformly distributed among the students buying drinks.
C)The types of drinks are independent from each other.
D)The distribution of type of drink purchases follows the normal distribution.
E)None of the above.

Question 5

A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area.Historically, 15% of purchases
Were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
For commercial properties and 5% for land.With changing demographics, the agency
Wondered if the current distribution matches the historical distribution.Recent data
Showed the following: Based on the historical distribution, we would expect how many homes to be purchased?

A)121
B)122.54
C)130
D)129.95
E)100

Question 6

Before being released to market, a drug company tests a new allergy medication for potential side effects.A random sample of 160 individuals with allergies was selected for
The study.The new allergy medication was randomly assigned to 80 of them, and another
Popular allergy medication already on the market (Brand C) was assigned to the rest.Out
Of the 80 given the new allergy medication, 14 reported drowsiness; 22 of the 80 taking
Brand C reported drowsiness.The 95% confidence interval for the difference in
Proportions reporting drowsiness is -0.028 to 0.228.Which of the following is correct?

A)We are 95% confident that there is no difference between the proportions of patients
B)We are 95% confident that there is a difference between the proportions of patients
C)We are 95% confident that the proportion of patients reporting drowsiness is higher
D)We are 95% confident that the proportion of patients reporting drowsiness is lower
E)There will be a significant difference between the proportions 95% of the time.

Question 7

Consider the following to answer questions
An online book store wants to determine if there is an association between coupon
redemption and gender.After a special coupon broadcast to its reward members, the
following data on coupon redemption at check out were collected. 13.1, 13.4, and 13.6.Choose Correct Test: Goodness of Fit, Independence, and Test of
Homogeneity.
What chi-square test is appropriate in this situation?

A)Goodness of fit
B)Homogeneity
C)Independence
D)Proportional
E)None of the above.

Question 8

Consider the following to answer questions
An online book store wants to determine if there is an association between coupon
redemption and gender.After a special coupon broadcast to its reward members, the
following data on coupon redemption at check out were collected. 13.1, 13.4, and 13.6.Choose Correct Test: Goodness of Fit, Independence, and Test of
Homogeneity.
The correct value of the test statistic is

Question 9

Consider the following to answer questions
Previous surveys reported that more men than women trade stocks online.A local
brokerage firm randomly selected a sample of investors.They found that 45 of 234 men
traded online and 42 of 251 women traded online.
Based on the 95% confidence interval, we can conclude

A)that a significant difference exists in the proportions of men and women who trade
B)that more men than women trade stocks online.
C)that more women than men trade stocks online.
D)that there is no significant difference in the proportions of men and women who
E)nothing, because we can't draw conclusions from confidence intervals.

Question 10

Consider the following to answer questions
Vending machines on a college campus offer a variety of drinks.The purchasing agent
believes that each type of drink is equally preferred by students and consequently orders
equal quantities.The number of drinks sold from vending machines on this campus for
the last six months is shown in the following table.
The degrees of freedom associated with the test statistic are

A)1.
B)2.
C)3.
D)4.
E)None of the above.

Question 11

Consider the following to answer questions
An online book store wants to determine if there is an association between coupon
redemption and gender.After a special coupon broadcast to its reward members, the
following data on coupon redemption at check out were collected. 13.1, 13.4, and 13.6.Choose Correct Test: Goodness of Fit, Independence, and Test of
Homogeneity.
The degrees of freedom associated with the test statistic are

A)1.
B)2.
C)3.
D)4.
E)None of the above.

Question 12

Consider the following to answer questions
Vending machines on a college campus offer a variety of drinks.The purchasing agent
believes that each type of drink is equally preferred by students and consequently orders
equal quantities.The number of drinks sold from vending machines on this campus for
the last six months is shown in the following table.
The correct value of the test statistic is

Question 13

Previous surveys reported that more men than women trade stocks online.A local brokerage firm randomly selected a sample of investors.They found that 45 out of 234
Men traded online and 42 out of 251 women traded online.The 95% confidence interval
For the difference in proportions is

A)4% to 9%
B)-4% to 9%
C)2% to 12%
D)-2% to 12%
E)-2% to -4%

Question 14

A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area.Historically, 15% of purchases
Were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
For commercial properties and 5% for land.With changing demographics, the agency
Wondered if the current distribution matches the historical distribution.Recent data
Showed the following: What is the standardized residual associated with Townhouses?

A)23.5
B)4.85
C)10.86
D)2.38
E)Not enough information given to calculate.

Question 15

Consider the following to answer questions
Previous surveys reported that more men than women trade stocks online.A local
brokerage firm randomly selected a sample of investors.They found that 45 of 234 men
traded online and 42 of 251 women traded online.
The 95% confidence interval for the difference in proportions is

A)4% to 9%.
B)-4% to 9%.
C)2% to 12%.
D)-2% to 12%.
E)-2% to -4%

Question 16

A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area.Historically, 15% of purchases
Were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
For commercial properties and 5% for land.Based on the data shown below, the null
Hypothesis was rejected and the agency concluded that the current distribution of property
Sales differs from the historical distribution.Based on an examination of the standardized
Residuals, which type of property had the most impact on the test results?

A)Condos
B)Townhouses
C)Homes
D)Commercial
E)Land

Question 17

A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area.Historically, 15% of purchases
Were for condominiums, 30% were for townhouses, 40% for single family homes, 10%
For commercial properties and 5% for land.With changing demographics, the agency
Wondered if the current distribution matches the historical distribution.Recent data
Showed the following: The value of the chi-square test statistic is