Question 1

A contingency table has seven rows and five columns.When applying a chi-square test of independence to this table,the number of degrees of freedom is ___.

Accepted Answer

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

Question 2

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis:   The observed value of chi-square for this goodness-of-fit test is ___.

Accepted Answer

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

Question 3

The executives of CareFree Insurance,Inc.feel that "a minority of our employees perceive an authoritarian management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis.Eighty employees rate the management as authoritarian.Using $\alpha$ = 0.05,the critical value of chi-square is ___.

Accepted Answer

A) 7.38 
B) 5.02 
C) 3.84 
D) 5.99 
E) 6.99 
A) 7.38 
B) 5.02 
C) 3.84 
D) 5.99 
E) 6.99 C

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

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?

Accepted Answer

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

Question 6

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'.  
 Using $\alpha$ = 0.05,the observed chi-square value is ___.

Accepted Answer

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

Question 7

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?

Accepted Answer

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

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the appropriate decision is ___.

Accepted Answer

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 
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 10

A contingency table has five rows and six columns.When applying a chi-square test of independence to this table,the number of degrees of freedom is ___.

Accepted Answer

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

Question 11

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the observed chi-square value is ___.

Accepted Answer

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

Question 12

When using the chi-square goodness-of-fit test,we must make sure that none of the expected frequencies is less than 30.

Accepted Answer

A) True 
 B)False

Question 13

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.   
Using $\alpha$ = .05,the appropriate decision is ___.

Accepted Answer

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 
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 14

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .10,the appropriate decision is ___.

Accepted Answer

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 
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 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

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

Accepted Answer

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

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased.  
 Using $\alpha$ = .05,the observed chi-square value is ___.

Accepted Answer

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

Question 20

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis:   The number of degrees of freedom for this goodness-of-fit test is ___.

Accepted Answer

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

A contingency table has seven rows and five columns.When applying a chi-square test of independence to this table,the number of degrees of freedom is ___.

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis: The observed value of chi-square for this goodness-of-fit test is ___.

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

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 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?

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

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the appropriate decision is ___.

A contingency table has five rows and six columns.When applying a chi-square test of independence to this table,the number of degrees of freedom is ___.

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the observed chi-square value is ___.

When using the chi-square goodness-of-fit test,we must make sure that none of the expected frequencies is less than 30.

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .10,the appropriate decision is ___.

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

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

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

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis: The number of degrees of freedom for this goodness-of-fit test is ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 16: Analysis of Categorical Data

A contingency table has seven rows and five columns.When applying a chi-square test of independence to this table,the number of degrees of freedom is ___.

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis: The observed value of chi-square for this goodness-of-fit test is ___.

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

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?

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'. Using α\alphaα = 0.05,the observed chi-square value is ___.

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?

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

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using α\alphaα = .05,the appropriate decision is ___.

A contingency table has five rows and six columns.When applying a chi-square test of independence to this table,the number of degrees of freedom is ___.

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using α\alphaα = .05,the observed chi-square value is ___.

When using the chi-square goodness-of-fit test,we must make sure that none of the expected frequencies is less than 30.

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. Using α\alphaα = .05,the appropriate decision is ___.

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using α\alphaα = .10,the appropriate decision is ___.

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

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

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

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

A gasoline distributor wonders whether an individual's income levels influences the grade of gasoline purchased. Using α\alphaα = .05,the observed chi-square value is ___.

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis: The number of degrees of freedom for this goodness-of-fit test is ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the appropriate decision is ___.

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the observed chi-square value is ___.

A variable contains four categories.It is expected that data are uniformly distributed across these four categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 22,35,32,and 21.Using $\alpha$ = .10,the appropriate decision is ___.