Question 1

Tests that concern parameters and require assumptions about parameters are called parametric tests.​

Accepted Answer

A) True 
 B)False

Question 2

For a chi-square test,the observed frequencies are obtained from the sample.​

Accepted Answer

A) True 
 B)False

Question 3

The chi-square statistic measures how well the data fit the hypothesis,and the symbol is χ2.​

Accepted Answer

A) True 
 B)False

Question 4

Which of the following accurately describes the expected frequencies for a chi-square test?​

Accepted Answer

A) ​They are always whole numbers. 
B) ​They can contain fractions or decimal values. 
C) They can contain both positive and negative values.​ 
D) ​They are positive whole numbers. 
A) ​They are always whole numbers. 
B) ​They can contain fractions or decimal values. 
C) They can contain both positive and negative values.​ 
D) ​They are positive whole numbers.

Question 5

Which of the following accurately describes the observed frequencies for a chi-square test?​

Accepted Answer

A) ​They are always whole numbers. 
B) ​They can contain fractions or decimal values. 
C) ​They can contain both positive and negative values. 
D) ​They are always the same value. 
A) ​They are always whole numbers. 
B) ​They can contain fractions or decimal values. 
C) ​They can contain both positive and negative values. 
D) ​They are always the same value.

Question 6

A chi-square test for independence produces a chi-square statistic with df = 2.The data for this research study form a matrix with four separate cells.​

Accepted Answer

A) True 
 B)False

Question 7

For a fixed level of significance,the critical value for chi-square increases as the size of the sample increases.​

Accepted Answer

A) True 
 B)False

Question 8

Which of the following best describes the possible values for a chi-square statistic?​

Accepted Answer

A) ​Chi-square is always a positive whole number. 
B) ​Chi-square is always positive, but can contain fractions or decimal values. 
C) ​Chi-square can be either positive or negative, but always is a whole number. 
D) ​Chi-square can be either positive or negative and can contain fractions or decimals. 
A) ​Chi-square is always a positive whole number. 
B) ​Chi-square is always positive, but can contain fractions or decimal values. 
C) ​Chi-square can be either positive or negative, but always is a whole number. 
D) ​Chi-square can be either positive or negative and can contain fractions or decimals.

Question 9

A sample of 100 people is classified by gender (male/female)and by whether or not they are registered voters.The sample consists of 80 females and 20 males,and has a total of 60 registered voters.If these data were used for a chi-square test for independence,what is the expected frequency for males who are registered voters?​

Accepted Answer

A) ​12 
B) ​20 
C) ​40 
D) ​60 
A) ​12 
B) ​20 
C) ​40 
D) ​60

Question 10

The term observed frequencies refers to the frequencies ____.​

Accepted Answer

A) ​found in the sample data 
B) ​found in the population being examined 
C) ​computed from the null hypothesis 
D) ​that are hypothesized for the population being examined 
A) ​found in the sample data 
B) ​found in the population being examined 
C) ​computed from the null hypothesis 
D) ​that are hypothesized for the population being examined

Question 11

For both the chi-square test for goodness of fit and the chi-square for independence,Σfe = n.​

Accepted Answer

A) True 
 B)False

Question 12

A researcher used a sample of n = 60 individuals to determine whether there are any preferences among four brands of pizza.Each individual tastes all four brands and selects his/her favorite.If the data are evaluated with a chi-square test for goodness of fit using α = .05,then how large does the chi-square statistic need to be to reject the null hypothesis?​

Accepted Answer

A) ​greater than 7.81 
B) ​less than 7.81 
C) ​less than 5.99 
D) between 5.99 and 7.81​ 
A) ​greater than 7.81 
B) ​less than 7.81 
C) ​less than 5.99 
D) between 5.99 and 7.81​

Question 13

For a fixed level of significance,the critical value for the chi-square will ____.​

Accepted Answer

A) ​increase as the df value increases 
B) ​decrease as the df value increases 
C) ​increase as the sample size increases 
D) ​decrease as the sample size increases 
A) ​increase as the df value increases 
B) ​decrease as the df value increases 
C) ​increase as the sample size increases 
D) ​decrease as the sample size increases

Question 14

A researcher obtains a negative value for a chi-square statistic.What can you conclude because the value is negative?​

Accepted Answer

A) ​The observed frequencies are consistently larger than the expected frequencies. 
B) ​The expected frequencies are consistently larger than the observed frequencies. 
C) ​There are large differences between the observed and expected frequencies. 
D) ​The researcher made a mistake; the value of the chi-square cannot be negative. 
A) ​The observed frequencies are consistently larger than the expected frequencies. 
B) ​The expected frequencies are consistently larger than the observed frequencies. 
C) ​There are large differences between the observed and expected frequencies. 
D) ​The researcher made a mistake; the value of the chi-square cannot be negative.

Question 15

The chi-square distribution tends to be symmetrical with a mean of μ = 0.​

Accepted Answer

A) True 
 B)False

Question 16

What is evaluated by the chi-square test for goodness of fit?​

Accepted Answer

A) ​the relationship between two variables 
B) ​the mean differences between two or more treatments 
C) ​the shape or proportions for a population distribution 
D) ​the significance of a regression estimate 
A) ​the relationship between two variables 
B) ​the mean differences between two or more treatments 
C) ​the shape or proportions for a population distribution 
D) ​the significance of a regression estimate

Question 17

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into two categories,then what is the df value for the chi-square statistic?​

Accepted Answer

A) ​df = 1 
B) ​df = 2 
C) ​df = 3 
D) ​The value of df cannot be determined from the information provided. 
A) ​df = 1 
B) ​df = 2 
C) ​df = 3 
D) ​The value of df cannot be determined from the information provided.

Question 18

​Ten years ago,only 15% of the U.S.population consisted of people more than 65 years old.A researcher plans to use a sample of n = 300 people to determine whether the population distribution has changed during the past ten years.If a chi-square test is used to evaluate the data,what is the expected frequency for the older-than-65 category?

Accepted Answer

A) ​15 
B) ​30 
C) ​45 
D) ​150 
A) ​15 
B) ​30 
C) ​45 
D) ​150

Question 19

​A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference among three different designs for a new automobile.Each individual in a sample of n = 30 males and n = 30 females selects a favorite design from the three choices.If the researcher obtains a chi-square statistic of χ2 = 4.81,what is the appropriate statistical decision for the test?

Accepted Answer

A) ​Reject the null hypothesis with α = .05 but not with α = .01. 
B) ​Reject the null hypothesis with either α = .05 or α = .01. 
C) ​Fail to reject the null hypothesis with either α = .05 or α = .01. 
D) ​Fail to reject the null hypothesis with α = .10. 
A) ​Reject the null hypothesis with α = .05 but not with α = .01. 
B) ​Reject the null hypothesis with either α = .05 or α = .01. 
C) ​Fail to reject the null hypothesis with either α = .05 or α = .01. 
D) ​Fail to reject the null hypothesis with α = .10.

Question 20

A researcher selects a sample of 100 people to investigate the relationship between gender (male/female)and registering to vote.The sample consists of 40 females,of whom 30 are registered voters,and 60 males,of whom 40 are registered voters.If these data are used for a chi-square test for independence,what is the observed frequency for registered males?

Accepted Answer

A) ​12 
B) ​28 
C) ​40 
D) ​42 
A) ​12 
B) ​28 
C) ​40 
D) ​42

Tests that concern parameters and require assumptions about parameters are called parametric tests.

For a chi-square test,the observed frequencies are obtained from the sample.

The chi-square statistic measures how well the data fit the hypothesis,and the symbol is χ².

Which of the following accurately describes the expected frequencies for a chi-square test?

Which of the following accurately describes the observed frequencies for a chi-square test?

A chi-square test for independence produces a chi-square statistic with df = 2.The data for this research study form a matrix with four separate cells.

For a fixed level of significance,the critical value for chi-square increases as the size of the sample increases.

Which of the following best describes the possible values for a chi-square statistic?

The term observed frequencies refers to the frequencies ____.

For both the chi-square test for goodness of fit and the chi-square for independence,Σf_e = n.

For a fixed level of significance,the critical value for the chi-square will ____.

A researcher obtains a negative value for a chi-square statistic.What can you conclude because the value is negative?

The chi-square distribution tends to be symmetrical with a mean of μ = 0.

What is evaluated by the chi-square test for goodness of fit?

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into two categories,then what is the df value for the chi-square statistic?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Binomial Test

Filters

Exam 17: The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Tests that concern parameters and require assumptions about parameters are called parametric tests.​

For a chi-square test,the observed frequencies are obtained from the sample.​

The chi-square statistic measures how well the data fit the hypothesis,and the symbol is χ2.​

Which of the following accurately describes the expected frequencies for a chi-square test?​

Which of the following accurately describes the observed frequencies for a chi-square test?​

A chi-square test for independence produces a chi-square statistic with df = 2.The data for this research study form a matrix with four separate cells.​

For a fixed level of significance,the critical value for chi-square increases as the size of the sample increases.​

Which of the following best describes the possible values for a chi-square statistic?​

The term observed frequencies refers to the frequencies ____.​

For both the chi-square test for goodness of fit and the chi-square for independence,Σfe = n.​

For a fixed level of significance,the critical value for the chi-square will ____.​

A researcher obtains a negative value for a chi-square statistic.What can you conclude because the value is negative?​

The chi-square distribution tends to be symmetrical with a mean of μ = 0.​

What is evaluated by the chi-square test for goodness of fit?​

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into two categories,then what is the df value for the chi-square statistic?​

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Binomial Test

Filters

Tests that concern parameters and require assumptions about parameters are called parametric tests.

For a chi-square test,the observed frequencies are obtained from the sample.

The chi-square statistic measures how well the data fit the hypothesis,and the symbol is χ².

Which of the following accurately describes the expected frequencies for a chi-square test?

Which of the following accurately describes the observed frequencies for a chi-square test?

A chi-square test for independence produces a chi-square statistic with df = 2.The data for this research study form a matrix with four separate cells.

For a fixed level of significance,the critical value for chi-square increases as the size of the sample increases.

Which of the following best describes the possible values for a chi-square statistic?

The term observed frequencies refers to the frequencies ____.

For both the chi-square test for goodness of fit and the chi-square for independence,Σf_e = n.

For a fixed level of significance,the critical value for the chi-square will ____.

A researcher obtains a negative value for a chi-square statistic.What can you conclude because the value is negative?

The chi-square distribution tends to be symmetrical with a mean of μ = 0.

What is evaluated by the chi-square test for goodness of fit?

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into two categories,then what is the df value for the chi-square statistic?