Question 1

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 2

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 _______.

Accepted Answer

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 
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 3

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

Accepted Answer

A) True 
 B)False

Question 4

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 ______________.

Accepted Answer

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

Question 5

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 estimates of the expected frequency in row 1 (A)column 1 (C)when the two variables are independent is _______.

Accepted Answer

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

Question 6

Ophelia O'Brien,VP of Consumer Credit of American First Banks (AFB),monitors the default rate on personal loans at the AFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday,the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using $\alpha$ = 0.01,observed chi-square value is _______.

Accepted Answer

A) 13.38 
B) 26.29 
C) 2.09 
D) 1.05 
E) 3.98 
A) 13.38 
B) 26.29 
C) 2.09 
D) 1.05 
E) 3.98

Question 7

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

Accepted Answer

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" 
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 8

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

Accepted Answer

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

Question 9

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?

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 10

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.

Accepted Answer

A) True 
 B)False

Question 11

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 _______.

Accepted Answer

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

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

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 14

A cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the alternative hypothesis is __________.

Accepted Answer

A) p  0.50 
D) p = 0.50 
E) p ≠ 0.40 
A) p  0.50 
D) p = 0.50 
E) p ≠ 0.40

Question 15

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 _______.

Accepted Answer

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

Question 16

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 _______.

Accepted Answer

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

Question 17

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

Question 18

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 _____.

Accepted Answer

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

Question 19

A cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the null hypothesis is __________.

Accepted Answer

A) $\mu$ > 80 
B) $\mu$ $\le$ 80 
C) p > 0.50 
D) p = 0.50 
E) s ≥ 0.80 
A) $\mu$ > 80 
B) $\mu$ $\le$ 80 
C) p > 0.50 
D) p = 0.50 
E) s ≥ 0.80

Question 20

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

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

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

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 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?

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.

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 _______.

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

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 cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the alternative hypothesis is __________.

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 _______.

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 _______.

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 cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the null hypothesis 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.

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

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 α\alphaα = .01,the appropriate decision is _______.

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

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 α\alphaα = .01,critical chi-square value is ______________.

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 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?

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.

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 α\alphaα = .01,the critical value of chi-square is _______.

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

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 cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using α\alphaα = 0.05,the alternative hypothesis is __________.

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 α\alphaα = .01,the observed value of chi-square 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 _______.

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 cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using α\alphaα = 0.05,the null hypothesis 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.

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 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 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 cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the alternative hypothesis is __________.

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 cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the null hypothesis is __________.