Deck 12: Chi-Square and Nonparametric

Question 1

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job
offer on graduation day.He is particularly interested in seeing if there is a difference in this
proportion for accounting and economics majors.In a random sample of 100 of each type of major at
graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the
accounting majors are designated as "Group 1" and the economics majors are designated as "Group
2," perform the appropriate hypothesis test using a level of significance of 0.05.
True or False: Referring to Scenario 12-2, the null hypothesis should be rejected.

Answer 1

False

Question 2

True or False: A test for whether one proportion is higher than the other can be performed using
the chi-square distribution.

Answer 2

False

Question 3

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job
offer on graduation day.He is particularly interested in seeing if there is a difference in this
proportion for accounting and economics majors.In a random sample of 100 of each type of major at
graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the
accounting majors are designated as "Group 1" and the economics majors are designated as "Group
2," perform the appropriate hypothesis test using a level of significance of 0.05.
True or False: Referring to Scenario 12-2, the same decision would be made with this test if the
level of significance had been 0.01 rather than 0.05.

Answer 3

True

Question 4

SCENARIO 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to
one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the
table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of
the 5 memory locations differ.
Referring to Scenario 12-4, which test would be used to properly analyze the data in this
Experiment?

Question 5

SCENARIO 12-1
Referring to Scenario 12-1, the company tests to determine at the 0.05 level whether the
Population proportion has changed from the previous study.Which of the following is most
Correct?

A) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has changed over the intervening 10 years.
B) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has not changed over the intervening 10 years.
C) Reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.
D) Do not reject the null hypothesis and conclude that the proportion of employees who are interested in a self-improvement course has increased over the intervening 10 years.

Question 6

SCENARIO 12-3 She will use this information to perform a chi-square hypothesis test using a level of significance of
True or False: Referring to Scenario 12-3, the decision made suggests that there is a difference
between the proportion of males and females who ride local versus non-local routes.

Question 7

SCENARIO 12-1

Question 8

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job
offer on graduation day.He is particularly interested in seeing if there is a difference in this
proportion for accounting and economics majors.In a random sample of 100 of each type of major at
graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the
accounting majors are designated as "Group 1" and the economics majors are designated as "Group
2," perform the appropriate hypothesis test using a level of significance of 0.05.

Question 9

In testing a hypothesis using the test, the theoretical frequencies are based on the

A) null hypothesis.
B) alternative hypothesis.
C) normal distribution.
D) None of the above.

Question 10

SCENARIO 12-1

Question 11

If we use the method of analysis to test for the differences among 4 proportions, the degrees
Of freedom are equal to:

A) 3
B) 4
C) 5
D) 1

Question 12

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job
offer on graduation day.He is particularly interested in seeing if there is a difference in this
proportion for accounting and economics majors.In a random sample of 100 of each type of major at
graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the
accounting majors are designated as "Group 1" and the economics majors are designated as "Group
2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Scenario 12-2, the null hypothesis will be rejected if the test statistic is ________.

Question 13

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job
offer on graduation day.He is particularly interested in seeing if there is a difference in this
proportion for accounting and economics majors.In a random sample of 100 of each type of major at
graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the
accounting majors are designated as "Group 1" and the economics majors are designated as "Group
2," perform the appropriate hypothesis test using a level of significance of 0.05.
True or False: Referring to Scenario 12-2, the same decision would be made with this test if the
level of significance had been 0.10 rather than 0.05.

Question 14

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job
offer on graduation day.He is particularly interested in seeing if there is a difference in this
proportion for accounting and economics majors.In a random sample of 100 of each type of major at
graduation, he found that 65 accounting majors and 52 economics majors had job offers.If the
accounting majors are designated as "Group 1" and the economics majors are designated as "Group
2," perform the appropriate hypothesis test using a level of significance of 0.05.
Referring to Scenario 12-2, the value of the test statistic is ________.

Question 15

True or False: The squared difference between the observed and theoretical frequencies should
be large if there is no significant difference between the proportions.

Question 16

If we wish to determine whether there is evidence that the proportion of items of interest is the
Same in group 1 as in group 2, the appropriate test to use is

Question 17

True or False: A test for the difference between two proportions can be performed using the chi-
square distribution.

Question 18

SCENARIO 12-1

Question 19

SCENARIO 12-3 She will use this information to perform a chi-square hypothesis test using a level of significance of
True or False: Referring to Scenario 12-3, the null hypothesis will be rejected.

Question 20

True or False: In testing the difference between two proportions using the normal distribution,
we may use either a one-tail Chi-square test or two-tail Z test.

Question 21

SCENARIO 12-5
Four surgical procedures currently are used to install pacemakers.If the patient does not need to
return for follow-up surgery, the operation is called a "clear" operation.A heart center wants to
compare the proportion of clear operations for the 4 procedures, and collects the following numbers
of patients from their own records: They will use this information to test for a difference among the proportion of clear operations using
a chi-square test with a level of significance of 0.05.
True or False: Referring to Scenario 12-5, the decision made suggests that the 4 procedures do
not all have the same proportion of clear operations.

Question 22

SCENARIO 12-5
Four surgical procedures currently are used to install pacemakers.If the patient does not need to
return for follow-up surgery, the operation is called a "clear" operation.A heart center wants to
compare the proportion of clear operations for the 4 procedures, and collects the following numbers
of patients from their own records: They will use this information to test for a difference among the proportion of clear operations using
a chi-square test with a level of significance of 0.05.
Referring to Scenario 12-5, the test will involve _________ degrees of freedom.

Question 23

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
Referring to Scenario 12-6, what are the degrees of freedom of the test statistic?

Question 24

SCENARIO 12-7 .
Referring to Scenario 12-7, the test will involve _________ degrees of freedom.

Question 25

SCENARIO 12-7 .
Referring to Scenario 12-7, the expected cell frequency for the Hong Kong/Yes cell is
__________.

Question 26

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
True or False: Referring to Scenario 12-6, the assumptions needed to perform the test are
satisfied.

Question 27

SCENARIO 12-5
Four surgical procedures currently are used to install pacemakers.If the patient does not need to
return for follow-up surgery, the operation is called a "clear" operation.A heart center wants to
compare the proportion of clear operations for the 4 procedures, and collects the following numbers
of patients from their own records: They will use this information to test for a difference among the proportion of clear operations using
a chi-square test with a level of significance of 0.05.
True or False: Referring to Scenario 12-5, the null hypothesis will be rejected.

Question 28

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
True or False: Referring to Scenario 12-6, there is sufficient evidence to conclude that the
proportions between year 1 and year 2 are different at a 0.05 level of significance.

Question 29

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
Referring to Scenario 12-6, what is the expected number of shoppers who pay by check in year
1 if there is no difference in the proportion of shoppers who pay by check among the three years?

Question 30

SCENARIO 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to
one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the
table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of
the 5 memory locations differ.
Referring to Scenario 12-4, the critical value of the test statistic at 1% level of significance is

A) 7.7794
B) 13.2767
C) 20.0902
D) 23.2093

Question 31

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
True or False: Referring to Scenario 12-6, there is insufficient evidence to conclude that the
proportions between year 1 and year 3 are different at a 0.05 level of significance.

Question 32

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
Referring to Scenario 12-6, what is the expected number of shoppers who do not pay by check
in year 3 if there is no difference in the proportion of shoppers who pay by check among the
three years?

Question 33

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.

Question 34

SCENARIO 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to
one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the
table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of
the 5 memory locations differ.
Referring to Scenario 12-4, at 1% level of significance

A) there is sufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different.
B) there is insufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different.
C) there is sufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.
D) there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.

Question 35

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.
True or False: Referring to Scenario 12-6, there is sufficient evidence to conclude that the
proportions between year 2 and year 3 are different at a 0.05 level of significance.

Question 36

True or False: Referring to Scenario 12-5, there is sufficient evidence to conclude that the
proportions between procedure C and procedure D are different at a 0.05 level of significance.

Question 37

Scenario 12-6
According to an article in Marketing News, fewer checks are being written at the grocery store
checkout than in the past.To determine whether there is a difference in the proportion of shoppers
who pay by check among three consecutive years at a 0.05 level of significance, the results of a
survey of 500 shoppers in three consecutive years are obtained and presented below.

Question 38

SCENARIO 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to
one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the
table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of
the 5 memory locations differ.
Referring to Scenario 12-4, the degrees of freedom of the test statistic is

A) 4
B) 8
C) 10
D) 448

Question 39

SCENARIO 12-5
Four surgical procedures currently are used to install pacemakers.If the patient does not need to
return for follow-up surgery, the operation is called a "clear" operation.A heart center wants to
compare the proportion of clear operations for the 4 procedures, and collects the following numbers
of patients from their own records: They will use this information to test for a difference among the proportion of clear operations using
a chi-square test with a level of significance of 0.05.
True or False: Referring to Scenario 12-5, the decision made suggests that the 4 procedures all
have different proportions of clear operations.

Question 40

SCENARIO 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to
one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the
table to each of the 5 memory locations, along with the number of reported errors. The bank manager wanted to test whether the proportion of errors in transactions assigned to each of
the 5 memory locations differ.
Referring to Scenario 12-4, the calculated value of the test statistic is

A) -0.1777
B) -0.0185
C) 1.4999
D) 1.5190

Question 41

SCENARIO 12-7 .
True or False: Referring to Scenario 12-7, the decision made suggests that the 3 cities all have
different proportions of hotels that correctly post minibar charges.

Question 42

SCENARIO 12-9
Many companies use well-known celebrities as spokespersons in their TV advertisements.A study
was conducted to determine whether brand awareness of female TV viewers and the gender of the
spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a
product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not
the viewer could identify the product was recorded.The numbers in each category are given below.
Referring to Scenario 12-9, at 5% level of significance, the conclusion is that

A) brand awareness of female TV viewers and the gender of the spokesperson are independent.
B) brand awareness of female TV viewers and the gender of the spokesperson are not independent.
C) brand awareness of female TV viewers and the gender of the spokesperson are related.
D) Both (b) and (c) .

Question 43

SCENARIO 12-8
Referring to Scenario 12-8, at 5% level of significance, there is sufficient evidence to conclude
That

A) use of seat belts in motor vehicles is related to the educational status of the parents.
B) use of seat belts in motor vehicles depends on the educational status of the parents.
C) use of seat belts in motor vehicles is associated with the educational status of the parents.
D) All of the above.

Question 44

SCENARIO 12-8
Referring to Scenario 12-8, at 5% level of significance, the critical value of the test statistic is

A) 3.8415
B) 5.9914
C) 9.4877
D) 13.2767

Question 45

SCENARIO 12-10
Referring to Scenario 12-10, what is the expected number of employees with less than 1 year of
Training time and a high defect rate?

A) 4.17
B) 4.60
C) 5.28
D) 9.17

Question 46

SCENARIO 12-10
Referring to Scenario 12-10, find the rejection region necessary for testing at the 0.05 level of
Significance whether there is a relationship between defect rate and years of experience.

Question 47

SCENARIO 12-9
Many companies use well-known celebrities as spokespersons in their TV advertisements.A study
was conducted to determine whether brand awareness of female TV viewers and the gender of the
spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a
product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not
the viewer could identify the product was recorded.The numbers in each category are given below.
Referring to Scenario 12-9, which test would be used to properly analyze the data in this
Experiment?

A) test for independence
B) test for differences among more than two proportions
C) Wilcoxon rank sum test for independent populations
D) Kruskal-Wallis rank test

Question 48

SCENARIO 12-10
Referring to Scenario 12-10, for the cell with 1 to 4 years of training time and a high defect
Rate, what is the contribution to the overall
Statistic for the independence test?

A) 0.36
B) 0.1296
C) 0.015
D) 0.0144

Question 49

SCENARIO 12-7 .
True or False: Referring to Scenario 12-7, the null hypothesis will be rejected.

Question 50

SCENARIO 12-10
Referring to Scenario 12-10, which test would be used to properly analyze the data in this
Experiment to determine whether there is a relationship between defect rate and years of
Experience?

A) test for independence
B) test for differences among more than two proportions
C) Wilcoxon rank sum test for independent populations
D) Kruskal-Wallis rank test

Question 51

SCENARIO 12-10
Referring to Scenario 12-10, what is the expected number of employees with 1 to 4 years of
Training time and a high defect rate?

A) 12.00
B) 8.64
C) 6.67
D) 6.00

Question 52

SCENARIO 12-9
Many companies use well-known celebrities as spokespersons in their TV advertisements.A study
was conducted to determine whether brand awareness of female TV viewers and the gender of the
spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a
product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not
the viewer could identify the product was recorded.The numbers in each category are given below.
Referring to Scenario 12-9, the calculated test statistic is

A) -0.1006
B) 0.00
C) 5.9418
D) 6.1194

Question 53

SCENARIO 12-9
Many companies use well-known celebrities as spokespersons in their TV advertisements.A study
was conducted to determine whether brand awareness of female TV viewers and the gender of the
spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a
product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not
the viewer could identify the product was recorded.The numbers in each category are given below.
Referring to Scenario 12-9, the degrees of freedom of the test statistic are

A) 1
B) 2
C) 4
D) 299

Question 54

SCENARIO 12-7 .
True or False: Referring to Scenario 12-7, the decision made suggests that the 3 cities do not all
have the same proportion of hotels that correctly post minibar charges.

Question 55

SCENARIO 12-9
Many companies use well-known celebrities as spokespersons in their TV advertisements.A study
was conducted to determine whether brand awareness of female TV viewers and the gender of the
spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a
product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not
the viewer could identify the product was recorded.The numbers in each category are given below.
Referring to Scenario 12-9, at 5% level of significance, the critical value of the test statistic is

A) 3.8415
B) 5.9914
C) 9.4877
D) 13.2767

Question 56

SCENARIO 12-7 .
Referring to Scenario 12-7, the expected cell frequency for the Paris/No cell is __________.

Question 57

SCENARIO 12-8
Referring to Scenario 12-8, which test would be used to properly analyze the data in this
Experiment?

A) test for independence
B) test for differences among more than two proportions
C) Wilcoxon rank sum test for independent populations
D) Kruskal-Wallis rank test

Question 58

When testing for independence in a contingency table with 3 rows and 4 columns, there are
________ degrees of freedom.

A) 5
B) 6
C) 7
D) 12

Question 59

True or False: If we use the chi-square method of analysis to test for the difference between
proportions, we must assume that there are at least 5 observed frequencies in each cell of the
contingency table.

Question 60

SCENARIO 12-8
Referring to Scenario 12-8, the calculated test statistic is

A) -0.9991
B) -0.1368
C) 48.1849
D) 72.8063

Question 61

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, suppose we want to constrain the probability of committing a
Type I error to 5% when testing whether there is any relationship between average time spent
Watching TV and average time spent reading story books, the critical value will be

A) 5.991
B) 7.378
C) 12.592
D) 14.449

Question 62

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, to test whether there is any relationship between average time
Spent watching TV and average time spent reading story books, the value of the measured test
Statistic is

A) -12.59
B) 1.61
C) 481.49
D) 1,368.06

Question 63

SCENARIO 12-10
Referring to Scenario 12-10, a test was conducted to determine if a relationship exists between
Defect rate and years of experience.Which of the following p-values would indicate that defect
Rate and years of experience are dependent? Assume you are testing at
= 0)05.

A) 0.045
B) 0.055
C) 0.074
D) 0.080

Question 64

SCENARIO 12-13
Recent studies have found that American children are more obese than in the past.The amount of
time children spent watching television has received much of the blame.A survey of 100 ten-year-
olds revealed the following with regards to weights and average number of hours a day spent
watching television.We are interested in testing whether the mean number of hours spent watching
TV and weights are independent at 1% level of significance.
12-30 Chi-Square and Nonparametric Tests
Referring to Scenario 12-13, if there is no connection between weights and average number of
Hours spent watching TV, we should expect how many children to be spending no more than 6
Hours on average watching TV and are more than 10 lbs.underweight?

A) 5.8
B) 6.2
C) 8
D) 12

Question 65

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, if the null hypothesis of no connection between time spent
Watching TV and time spent reading story books is true, how many children watching less than 2
Hours of TV and reading no more than 2 hours of story books on average can we expect?

A) 35.69
B) 227.23
C) 262.91
D) 969.75

Question 66

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the null hypothesis will be rejected.

Question 67

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the null hypothesis claims that "there is no
association between admission status at the college and the type of community in which an
applicant resides."

Question 68

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the decision made suggests that admissions status
at the college is independent of the type of community in which an applicant resides.

Question 69

True or False: The chi-square test of independence requires that the expected frequency in each
cell to be at least 1.

Question 70

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, if the null hypothesis of no connection between time spent
Watching TV and time spent reading story books is true, how many children watching less than 2
Hours of TV and reading more than 2 hours of story books on average can we expect?

A) 42.09
B) 155.25
C) 262.92
D) 987.75

Question 71

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, how many children in the survey spent less than 2 hours watching
TV and no more than 2 hours reading storybooks on average?

A) 8
B) 130
C) 175
D) 687

Question 72

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the alternative hypothesis claims that "there is
some connection between admission status at the college and the type of community in which an
applicant resides."

Question 73

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, how many children in the survey spent less than 2 hours watching
TV and more than 2 hours reading story books on average?

A) 8
B) 130
C) 175
D) 687

Question 74

SCENARIO 12-12
Parents complain that children read too few storybooks and watch too much television nowadays.A
survey of 1,000 children reveals the following information on average time spent watching TV and
average time spent reading storybooks
Referring to Scenario 12-12, we want to test whether there is any relationship between average
Time spent watching TV and average time spent reading storybooks.Suppose the value of the
Test statistic was 164 (which is not the correct answer)and the critical value was 19.00 (which is
Not the correct answer), then we could conclude that

A) There is a connection between time spent reading storybooks and time spent watching TV.
B) There is no connection between time spent reading storybooks and time spent watching TV.
C) More time spent reading storybooks leads to less time spent watching TV.
D) More time spent watching TV leads to less time spent reading storybooks.

Question 75

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
Referring to Scenario 12-11, the test will involve _________ degrees of freedom.

Question 76

True or False: The chi-square test of independence requires that the expected frequency in each
cell to be at least 5.

Question 77

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the same decision would be made with this test if
the level of significance had been 0.005.

Question 78

SCENARIO 12-13
Recent studies have found that American children are more obese than in the past.The amount of
time children spent watching television has received much of the blame.A survey of 100 ten-year-
olds revealed the following with regards to weights and average number of hours a day spent
watching television.We are interested in testing whether the mean number of hours spent watching
TV and weights are independent at 1% level of significance.
12-30 Chi-Square and Nonparametric Tests
Referring to Scenario 12-13, if there is no connection between weights and average number of
Hours spent watching TV, we should expect how many children to be spending 3-6 hours on
Average watching TV and are more than 10 lbs.underweight?

A) 5
B) 5.8
C) 6.2
D) 8

Question 79

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the same decision would be made with this test if
the level of significance had been 0.05.

Question 80

SCENARIO 12-11
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission)at his college is independent of the type of community in which an
applicant resides.He takes a sample of recent admissions decisions and forms the following table: He will use this table to do a chi-square test of independence with a level of significance of 0.01.
True or False: Referring to Scenario 12-11, the p-value of this test is greater than 0.01.