Deck 16: Analysis of Categorical Data

Question 1

In a chi-square goodness-of-fit test, actual frequencies are also called calculated frequencies.

Answer 1

False

Question 2

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 6.

Answer 2

True

Question 3

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the observed value of chi-square is _______.

A)12.09
B)9.82
C)13.28
D)17.81
E)2.09

Answer 3

2.09

Question 4

A chi-square goodness-of-fit test is being used to test the goodness-of-fit of a uniform distribution for a dataset with "k" categories.This test has (k-3)degrees of freedom.

Question 5

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the critical value of chi-square is _______.

A)7.78
B)15.09
C)9.24
D)13.28
E)15.48

Question 6

A goodness of fit test is to be performed to see if consumers prefer any of three package designs (A, B, and C)more than the other two.A sample of 60 consumers is used.What is the expected frequency for category A?

A)1/3
B)20
C)60
D)10
E)30

Question 7

A chi-square goodness-of-fit test to determine if the observed frequencies in seven categories are uniformly distributed has six degrees of freedom.

Question 8

The decision rule in a chi-square goodness-of-fit test is to reject the null hypothesis if the computed chi-square value is greater than the table chi-square value.

Question 9

The null hypothesis for a chi-square test of independence is that the two variables are not related.

Question 10

A researcher is interested in using a chi-square test of independence to determine if age is independent of minutes spent reading.Age is divided into four categories while minutes spent reading is classified as high, medium, low.The number of degrees of freedom for this test is 12.

Question 11

A goodness of fit test is to be performed to see if Web Surfers prefer any of four Web sites (A, B, C and D)more than the other three.A sample of 60 consumers is used.What is the expected frequency for Web site A?

A)1/4
B)20
C)15
D)10
E)30

Question 12

The number of degrees of freedom in a chi-square goodness-of-fit test is the number of categories minus the number of parameters estimated minus one.

Question 13

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

Question 14

A two-way table used for a test of independence is sometimes called a contingency table.

Question 15

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is the same as the expected distribution.

Question 16

When using the chi-square goodness-of-fit test, the type of distribution (uniform, Poisson, normal)being used does not influence the hypothesis test.

Question 17

The number of degrees of freedom in a chi-square goodness-of-fit test is the number of categories minus the number of parameters estimated.

Question 18

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the degrees of freedom for this test are _______.

A)5
B)4
C)3
D)2
E)1

Question 19

A chi-square goodness-of-fit test to determine if the observed frequencies in ten categories are Poisson distributed has nine degrees of freedom.

Question 20

In a chi-square goodness-of-fit test, theoretical frequencies are also called expected frequencies.

Question 21

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed.The following data represent a distribution of frequency of arrivals in a one-hour time period. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Number of customer arrivals } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Frequency } & 47 & 56 & 39 & 22 & 18 & 10 \\\hline\end{array}$$ Using $\alpha$ = 0.10, the critical chi-square value for this goodness-of-fit test is _______.

A)1.064
B)13.277
C)9.236
D)8.799
E)7.779

Question 22

A researcher believes that a variable is Poisson distributed across six categories.To test this, the following random sample of observations is collected: $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Categary } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed } & 7 & 18 & 25 & 17 & 12 & 5 \\\hline\end{array}$$ Using $\alpha$ = 0.10, the value of the observed chi-square for the data is _______.

A)19.37
B)2.29
C)1.74
D)3.28
E)4.48

Question 23

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories, and lambda must be estimated.Alpha is chosen to be 0.10.The critical (table)value of chi-square is _______.

A)10.645
B)12.017
C)3.828
D)16.812
E)17.345

Question 24

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories, and lambda must be estimated.How many degrees of freedom should be used?

A)8
B)7
C)6
D)5
E)4

Question 25

A suburban realtor is studying commuter time in the Houston metropolitan area.She has been told the average weekday travel time from a southern suburb at 8:00am is 45 minutes.For five months she counts the number of days that it takes her more than 45 minutes to arrive in downtown when she leaves her house at 8:00am.She expects the data are uniformly distributed across the five months.Her sample of observed data yields the following frequencies 9 days, 15 days, 8 days, 11 days, 12 days.Using $\alpha$ = .01, the critical chi-square value is _______.

A)13.277
B)15.086
C)7.779
D)11.070
E)2.727

Question 26

A suburban realtor is studying commuter time in the Houston metropolitan area.She has been told the average weekday travel time from a southern suburb at 8:00am is 45 minutes.For five months she counts the number of days that it takes her more than 45 minutes to arrive in downtown when she leaves her house at 8:00am.She expects the data are uniformly distributed across the five months.Her sample of observed data yields the following frequencies 9 days, 15 days, 8 days, 11 days, 12 days.Using $\alpha$ = .10, the appropriate decision is _______.

A)do not reject the null hypothesis that the observed distribution is uniform
B)do not reject the null hypothesis that the observed distribution is not uniform
C)reject the null hypothesis that the observed distribution is uniform
D)reject the null hypothesis that the observed distribution is not uniform
E)do nothing

Question 27

A market researcher is studying the use of coupons by consumers of varying ages.She classifies consumers into four age categories and counts the number of grocery store customers who use at least one coupon during check out.It is expected that data are uniformly distributed across the four age categories.The observed data results in frequencies of 22, 35, 32, and 21.Using $\alpha$ = .05, the appropriate decision is _______.

A)do not reject the null hypothesis that the observed distribution is uniform
B)do not reject the null hypothesis that the observed distribution is not uniform
C)reject the null hypothesis that the observed distribution is uniform
D)reject the null hypothesis that the observed distribution is not uniform
E)do nothing

Question 28

A researcher believes that a variable is Poisson distributed across six categories.To test this, the following random sample of observations is collected: $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Categary } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed } & 7 & 18 & 25 & 17 & 12 & 5 \\\hline\end{array}$$ Using $\alpha$ = 0.10, the critical value of chi-square for the data is _______.

A)9.236
B)7.779
C)13.277
D)12.89
E)1.064

Question 29

A suburban realtor is studying commuter time in the Houston metropolitan area.She has been told the average weekday travel time from a southern suburb at 8:00am is 45 minutes.For five months she counts the number of days that it takes her more than 45 minutes to arrive in downtown when she leaves her house at 8:00am.She expects that data are uniformly distributed across the five months.Her sample of observed data yields the following frequencies 9 days, 15 days, 8 days, 11 days, 12 days.Using $\alpha$ = .01, the observed chi-square value is _______.

A)1.18
B)9.10
C)21.75
D)4.51
E)2.73

Question 30

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed.The following data represent a distribution of frequency of arrivals in a one hour time period. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Number of Customer Arivals } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Frequency } & 47 & 56 & 39 & 22 & 18 & 10 \\\hline\end{array}$$ Using $\alpha$ = 0.10, the observed chi-square value for this goodness-of-fit test is ____.

A)2.28
B)14.82
C)17.43
D)1.68
E)2.67

Question 31

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cars per 15-rrirute iriterval } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 5 & 15&17 & 12& 10 & 8 \\\hline\end{array}$$


The observed value of chi-square for this goodness-of-fit test is closest to _____.

A)0.73
B)6.72
C)3.15
D)7.81
E)9.87

Question 32

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 6 categories, and lambda must be estimated.How many degrees of freedom should be used?

A)6
B)5
C)4
D)3
E)2

Question 33

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cars per 15-rrirute iriterval } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 5 & 15&17 & 12& 10 & 8 \\\hline\end{array}$$


Using $\alpha$ = 0.05, the appropriate decision for this goodness-of-fit test is ____.

A)reject the null hypothesis that the observed distribution is Poisson
B)reject the null hypothesis that the observed distribution is not Poisson
C)do not reject the null hypothesis that the observed distribution is not Poisson
D)do not reject the null hypothesis that the observed distribution is Poisson
E)do nothing

Question 34

A suburban realtor is studying commuter time in the Houston metropolitan area.She has been told the average weekday travel time from a southern suburb at 8:00am is 45 minutes.For five months she counts the number of days that it takes her more than 45 minutes to arrive in downtown when she leaves her house at 8:00am.She expects the data are uniformly distributed across the five months.Her sample of observed data yields the following frequencies 9 days, 15 days, 8 days, 11 days, 12 days.Using $\alpha$ = .01, the appropriate decision is _______.

A)do not reject the null hypothesis that the observed distribution is uniform
B)do not reject the null hypothesis that the observed distribution is not uniform
C)reject the null hypothesis that the observed distribution is uniform
D)reject the null hypothesis that the observed distribution is not uniform
E)do nothing

Question 35

A market researcher is studying the use of coupons by consumers of varying ages.She classifies consumers into four age categories and counts the number of grocery store customers who use at least one coupon during check out.It is expected that data are uniformly distributed across the four age categories.The observed data results in frequencies of 22, 35, 32, and 21.Using $\alpha$ = .10, the appropriate decision is _______.

A)do not reject the null hypothesis that the observed distribution is uniform
B)do not reject the null hypothesis that the observed distribution is not uniform
C)reject the null hypothesis that the observed distribution is uniform
D)reject the null hypothesis that the observed distribution is not uniform
E)do nothing

Question 36

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cars per 15-rrirute iriterval } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 5 & 15&17 & 12& 10 & 8 \\\hline\end{array}$$

Using $\alpha$ = 0.05, the critical value of chi-square for this goodness-of-fit test is ____.

A)9.49
B)7.81
C)7.78
D)11.07
E)12.77

Question 37

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. $$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Categary } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed } & 5 & 15&17 & 12& 10 & 8 \\\hline\end{array}$$
The number of degrees of freedom for this goodness-of-fit test is _______.

A)5
B)4
C)3
D)2
E)1

Question 38

A market researcher is studying the use of coupons by consumers of varying ages.She classifies consumers into four age categories and counts the number of grocery store customers who use at least one coupon during check out.It is expected that data are uniformly distributed across the four age categories.The observed data results in frequencies of 22, 35, 32, and 21.Using $\alpha$ = .05, the critical chi-square value is _______.

A)13.277
B)15.086
C)7.8147
D)11.070
E)15.546

Question 39

A market researcher is studying the use of coupons by consumers of varying ages.She classifies consumers into four age categories and counts the number of grocery store customers who use at least one coupon during check out.It is expected that data are uniformly distributed across the four age categories.The observed data results in frequencies of 22, 35, 32, and 21.Using $\alpha$ = .05, the observed chi-square value is _______.

A)5.418
B)9.10
C)20.27
D)4.51
E)7.86

Question 40

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the appropriate decision is _______.

A)reject the null hypothesis that the observed distribution is uniform
B)reject the null hypothesis that the observed distribution is not uniform
C)do not reject the null hypothesis that the observed distribution is uniform
D)do not reject the null hypothesis that the observed distribution is not uniform
E)do nothing

Question 41

The manager of a grocery store believes that the number of people waiting in the express check out lane follows a Poisson distribution.While watching the lane at random times throughout the day and week, she collects the following information. $\begin{array}{|l|r|r|r|r|r|r|}\hline \begin{array}{l}\text { People waiting in express } \\\text { check out lane }\end{array} & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 35 & 41 & 22 & 14 & 3 & 2\\\hline \end{array}$
Using $\alpha$ =0.10, the critical value of chi-square for this goodness of fit test is _______.

A)9.49
B)7.81
C)7.78
D)10.28
E)11.41

Question 42

In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen would like to know the distribution of meal consumption by students and think it would follow a Poisson distribution.Reviewing dining hall data over the past week, the following information is compiled. $$\begin{array} { | l | r | r | r | r | r | } \hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \\\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \\\hline\end{array}$$ Using $\alpha$ =0.05, the appropriate decision for this goodness of fit test is _______.

A)do not reject the null hypothesis that the observed distribution is Poisson
B)reject the null hypothesis that the observed distribution is not the Poisson
C)do nothing
D)do not reject the null hypothesis that the observed distribution is not Poisson
E)reject the null hypothesis that the observed distribution is Poisson

Question 43

In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen would like to know the distribution of meal consumption by students and think it would follow a Poisson distribution.Reviewing dining hall data over the past week, the following information is compiled. $$\begin{array} { | l | r | r | r | r | r | } \hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \\\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \\\hline\end{array}$$ The observed value of chi-square for this goodness-of-fit test is closest to _______.

A)1.54
B)4.88
C)4.97
D)8.49
E)11.27

Question 44

Sam Hill, Director of Media Research, is analyzing subscribers to the TravelWorld magazine.He wonders whether subscriptions are influenced by the head of household's highest degree earned.His staff prepared the following contingency table from a random sample of 300 households. Using $\alpha$ = .05, the critical value of chi-square is ______________.

A)5.99
B)3.84
C)5.02
D)7.37
E)9.99

Question 45

A test of independence is to be performed.The contingency table has 4 rows and 5 columns.What would the degrees of freedom be?

A)20
B)9
C)7
D)12
E)19

Question 46

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

A)6
B)5
C)4
D)3
E)1

Question 47

Contingency tables should not be used with expected cell frequencies _______.

A)less than the number of rows
B)less than the number of columns
C)less than 5
D)less than 30
E)less than 50

Question 48

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B'; variable two has values of 'C', 'D', and 'E'. $$\begin{array} { | l | l | l | l | } \hline & \mathrm { C } & \mathrm { D } & \mathrm { E } \\\hline \mathrm { A } & 12 & 10 & 8 \\\hline \mathrm { B } & 20 & 24 & 26 \\\hline\end{array}$$ Using $\alpha$ = 0.05, the critical chi-square value is _______.

A)9.488
B)1.386
C)8.991
D)3.357
E)5.991

Question 49

The manager of a grocery store believes that the number of people waiting in the express check out lane follows a Poisson distribution.While watching the lane at random times throughout the day and week, she collects the following information. $\begin{array}{|l|r|r|r|r|r|r|}\hline \begin{array}{l}\text { People waiting in express } \\\text { check out lane }\end{array} & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 35 & 41 & 22 & 14 & 3 & 2\\\hline \end{array}$

The observed value of chi-square for this goodness-of-fit test is closest to_______.

A)0.99
B)2.33
C)4.54
D)9.77
E)13.05

Question 50

The manager of a grocery store believes that the number of people waiting in the express check out lane follows a Poisson distribution.While watching the lane at random times throughout the day and week, she collects the following information. $\begin{array}{|l|r|r|r|r|r|r|}\hline \begin{array}{l}\text { People waiting in express } \\\text { check out lane }\end{array} & 0 & 1 & 2 & 3 & 4 & \geq 5 \\\hline \text { Observed frequency } & 35 & 41 & 22 & 14 & 3 & 2\\\hline \end{array}$

Using $\alpha$ =0.10, the appropriate decision for this goodness of fit test is _______.

A)do not reject the null hypothesis that the observed distribution is Poisson
B)reject the null hypothesis that the observed distribution is not the Poisson
C)do nothing
D)do not reject the null hypothesis that the observed distribution is not Poisson
E)reject the null hypothesis that the observed distribution is Poisson

Question 51

The chi-square test of independence uses the _______ of two categorical variables to determine whether those variables are independent.

A)number of categories
B)frequencies
C)means
D)standard deviations
E)total counts

Question 52

A market researcher believes that industry type is independent of the operating margin.He compiles a table with seven industry classifications and classifies operating margin into five levels.When applying a chi-square test of independence to this table, the number of degrees of freedom is _____.

A)24
B)35
C)12
D)10
E)11

Question 53

In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen would like to know the distribution of meal consumption by students and think it would follow a Poisson distribution.Reviewing dining hall data over the past week, the following information is compiled. $$\begin{array} { | l | r | r | r | r | r | } \hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \\\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \\\hline\end{array}$$ Using $\alpha$ =0.05, the critical value of chi-square for this goodness of fit test is _______.

A)9.49
B)7.81
C)7.78
D)10.28
E)11.41

Question 54

The type of data most appropriate for use in the chi-square test of independence is ______.

A)ratio
B)interval
C)continuous
D)ordinal
E)nominal

Question 55

In a college dining hall, students with a full meal plan can eat up to four meals each day.The kitchen is now thinking that the meal consumption may more closely resemble a uniform distribution.Reviewing dining hall data over the past week, the following information is compiled. $$\begin{array} { | l | r | r | r | r | r | } \hline \text { Meals } & 0 & 1 & 2 & 3 & \geq 4 \\\hline \text { Observed frequency } & 287 & 581 & 447 & 290 & 185 \\\hline\end{array}$$ Using $\alpha$ =0.05, the appropriate decision for this goodness of fit test is _______.

A)do not reject the null hypothesis that the observed distribution is uniform
B)reject the null hypothesis that the observed distribution is uniform
C)do nothing
D)do not reject the null hypothesis that the observed distribution is not uniform
E)reject the null hypothesis that the observed distribution is not uniform

Question 56

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B'; variable two has values of 'C', 'D', and 'E'. $$\begin{array} { | l | l | l | l | } \hline & \mathrm { C } & \mathrm { D } & \mathrm { E } \\\hline \mathrm { A } & 12 & 10 & 8 \\\hline \mathrm { B } & 20 & 24 & 26 \\\hline\end{array}$$ Using $\alpha$ = 0.05, the estimates of the expected frequency in row 1 (A)column 1 (C)when the two variables are independent is _______.

A)9.6
B)12
C)16
D)10
E)20

Question 57

Sam Hill, Director of Media Research, is analyzing subscribers to the TravelWorld magazine.He wonders whether subscriptions are influenced by the head of household's highest degree earned.His staff prepared the following contingency table from a random sample of 300 households. Sam's null hypothesis is ______________.

A)"head of household classification" is related to "subscribes"
B)"head of household classification" is not independent of "subscribes"
C)"head of household classification" is independent of "subscribes"
D)"head of household classification" influences "subscribes"
E)"clerical is not related to managerial"

Question 58

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B'; variable two has values of 'C', 'D', and 'E'. $$\begin{array} { | l | l | l | l | } \hline & \mathrm { C } & \mathrm { D } & \mathrm { E } \\\hline \mathrm { A } & 12 & 10 & 8 \\\hline \mathrm { B } & 20 & 24 & 26 \\\hline\end{array}$$ Using $\alpha$ = 0.05, the observed chi-square value is _______.

A)0
B)0.69
C)1.54
D)21.28
E)8.29

Question 59

Sam Hill, Director of Media Research, is analyzing subscribers to the TravelWorld magazine.He wonders whether subscriptions are influenced by the head of household's highest degree earned.His staff prepared the following contingency table from a random sample of 300 households. The observed value of chi-square is ______________.

A)5.99
B)28.30
C)32.35
D)60.65
E)50.78

Question 60

A travel agent believes that vacation destinations are independent of the region of the country that the vacationer resides.She has compiled a table with six vacation destinations and five regions throughout the United States.When applying a chi-square test of independence to this table, the number of degrees of freedom is _____.

A)9
B)20
C)30
D)11
E)12

Question 61

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. Using $\alpha$ = .05, the appropriate decision is ______________.

A)reject the null hypothesis and conclude the two variables are not independent
B)do not reject the null hypothesis and conclude the two variables are not independent
C)reject the null hypothesis and conclude the two variables are independent
D)do not reject the null hypothesis and conclude the two variables are independent
E)do nothing

Question 62

Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using $\alpha$ = .01, critical chi-square value is ______________.

A)9.21
B)7.88
C)15.09
D)16.81
E)18.81

Question 63

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. The estimate of the expected number of individuals with income less than $30,000 who purchase regular gasoline when income and type of gasoline are independent is _______.

A)60
B)90
C)120
D)80
E)100

Question 64

A recent national poll showed the reading habits of adults during the last 12 months: $$\begin{array} { l r } 3 \text { or more books } & 5 \\2 \text { boxlss } & 27 \\1 \text { book } & 38 \\\text { No hooks } & 30\end{array}$$ A poll in a small Midwestern town shows the following percentages:
$$\begin{array} { l r } 3 \text { or more broks } & 1 \\2 \text { books } & 22 \\1 \text { boxk } & 39 \\\text { No hooks } & 38\end{array}$$ Using $\alpha$ = .05, the critical value of the chi-squared goodness-of-fit statistic is ______.

A)9.49
B)7.82
C)5.99
D)5.82
E)5.49

Question 65

Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using $\alpha$ = .05, critical chi-square value is ______________.

A)9.21
B)7.88
C)15.09
D)5.99
E)7.89

Question 66

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. Using $\alpha$ = .05, the observed value of chi-square is ______________.

A)5.28
B)9.49
C)13.19
D)16.79
E)18.79

Question 67

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .05, appropriate decision is ______________.

A)reject the null hypothesis and conclude the two variables are not independent
B)reject the null hypothesis and conclude the two variables are independent
C)do not reject the null hypothesis and conclude the two variables are not independent
D)do not reject the null hypothesis and conclude the two variables are independent
E)do nothing

Question 68

A recent national poll showed the reading habits of adults during the last 12 months: $$\begin{array} { l r } 3 \text { or more books } & 5 \\2 \text { boxlss } & 27 \\1 \text { book } & 38 \\\text { No hooks } & 30\end{array}$$ A poll in a small Midwestern town shows the following percentages:
$$\begin{array} { l r } 3 \text { or more broks } & 1 \\2 \text { books } & 22 \\1 \text { boxk } & 39 \\\text { No hooks } & 38\end{array}$$ The observed chi-squared statistic is ______.

A)5.14
B)5.28
C)6.14
D)6.28
E)6.54

Question 69

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. The null hypothesis is ______________.

A)"income" is independent of "type of gasoline"
B)"income" influences "type of gasoline"
C)"income" is not independent of "type of gasoline"
D)"income" is related to "type of gasoline"
E)"regular" is independent of "premium"

Question 70

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .05, critical chi-square value is ______________.

A)15.09
B)5.99
C)9.21
D)16.81
E)23.87

Question 71

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. Catherine's null hypothesis is ______________.

A)"children in household" is not independent of "preferred package"
B)"children in household" is independent of "preferred package"
C)"children in household" is related to "preferred package"
D)"children in household" influences "preferred package"
E)"pump" is independent of "tube"

Question 72

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .01, observed chi-square value is ______________.

A)24.93
B)4.44
C)32.89
D)51.79
E)54.98

Question 73

Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using $\alpha$ = .01, appropriate decision is ______________.

A)reject the null hypothesis and conclude the two variables are not independent
B)reject the null hypothesis and conclude the two variables are independent
C)do not reject the null hypothesis and conclude the two variables are not independent
D)do not reject the null hypothesis and conclude the two variables are independent
E)do nothing

Question 74

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. Using $\alpha$ = .05, the critical value of chi-square is ______________.

A)5.02
B)3.84
C)7.37
D)6.09
E)5.99

Question 75

Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Anita's null hypothesis is ______________.

A)"investment objective" is related to "industry sector"
B)"investment objective" influences "industry sector"
C)"investment objective" is not independent of "industry sector"
D)"investment objective" is independent of "industry sector"
E)"growth" and "income" are independent

Question 76

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .05, observed chi-square value is ______________.

A)15.79
B)4.44
C)32.89
D)51.79
E)5.79

Question 77

Sam Hill, Director of Media Research, is analyzing subscribers to the TravelWorld magazine.He wonders whether subscriptions are influenced by the head of household's highest degree earned.His staff prepared the following contingency table from a random sample of 300 households. Using $\alpha$ = .05, the appropriate decision is ______________.

A)reject the null hypothesis and conclude the two variables are independent
B)do not reject the null hypothesis and conclude the two variables are independent
C)reject the null hypothesis and conclude the two variables are not independent
D)do not reject the null hypothesis and conclude the two variables are not independent
E)do nothing

Question 78

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .01, critical chi-square value is ______________.

A)15.09
B)7.88
C)9.21
D)16.81
E)17.89

Question 79

Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using $\alpha$ = .01, observed chi-square value is ______________.

A)24.93
B)8.17
C)32.89
D)6.59
E)4.89

Question 80

A recent national poll showed the reading habits of adults during the last 12 months: $\begin{array}{llcc} \text { 3 or more botiss} &5 \\ \text {2 boxks } &27\\ \text { 1 hook } &38\\ \text { No books} &30\\\end{array}$
A poll in a small Midwestern town shows the following percentages:
$\begin{array}{llcc} \text { 3 or more botiss} &1 \\ \text {2 boxks } &22\\ \text { 1 hook } &39\\ \text { No books} &38\\\end{array}$

The null hypothesis is: ______.

A)the poll in the small Midwestern town is not based on a random sample
B)the poll in the small Midwestern town is not accurate
C)the sample size for the poll in the Midwestern town is not large enough
D)the distributions are equal
E)the poll in the small Midwestern town is based on a random sample