Question 1

The data for a chi-square test are called observed frequencies.

Accepted Answer

A) True 
 B)False  True

Question 2

What values are specified by the null hypothesis for the chi-square test for goodness of fit?

Accepted Answer

A) Proportions for the entire population 
B) Proportions for the sample 
C) Frequencies for the entire population 
D) Frequencies for the sample 
A) Proportions for the entire population 
B) Proportions for the sample 
C) Frequencies for the entire population 
D) Frequencies for the sample A

Question 3

A chi-square test for independence is being used to evaluate the relationship between two variables.If the test has df = 1,what can you conclude about the two variables?

Accepted Answer

A) One variable consists of 2 categories and the other consists of 3 categories. 
B) One variable consists of 2 categories and the other consists of 4 categories. 
C) Both variables consist of 2 categories. 
D) Both variables consist of 3 categories. 
A) One variable consists of 2 categories and the other consists of 3 categories. 
B) One variable consists of 2 categories and the other consists of 4 categories. 
C) Both variables consist of 2 categories. 
D) Both variables consist of 3 categories. C

Question 4

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

Accepted Answer

A) True 
 B)False

Question 5

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

Accepted Answer

A) There is a good fit between the sample data and the null hypothesis. 
B) There is a large discrepancy between the sample data and the null hypothesis. 
C) All of the expected frequencies must also be close to zero. 
D) The researcher made a mistake because chi-square can never be close to zero. 
A) There is a good fit between the sample data and the null hypothesis. 
B) There is a large discrepancy between the sample data and the null hypothesis. 
C) All of the expected frequencies must also be close to zero. 
D) The researcher made a mistake because chi-square can never be close to zero.

Question 6

The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df > 1.

Accepted Answer

A) True 
 B)False

Question 7

Nonparametric tests are used only with data from a nominal scale.

Accepted Answer

A) True 
 B)False

Question 8

A researcher is using a chi-square test for independence to evaluate the relationship between birth-order position and self-esteem.Each individual is classified as being 1ˢᵗ born,2ⁿᵈ born,or 3ʳᵈ born,and self-esteem is categorized as either high or low.For this study,what is the df value for the chi-square statistic?

Accepted Answer

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

Question 9

The chi-square test for independence uses the same formula as the chi-square statistic for the goodness-of-fit test.

Accepted Answer

A) True 
 B)False

Question 10

One characteristic of nonparametric tests is that they make few,if any,assumptions about the populations being investigated.

Accepted Answer

A) True 
 B)False

Question 11

Although the outcome for a chi-square test for independence is influenced by sample size,measures of effect size such as the phi-coefficient or Cramér's V are not.

Accepted Answer

A) True 
 B)False

Question 12

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 is always 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 is always a whole number. 
D) Chi-square can be either positive or negative and can contain fractions or decimals.

Question 13

What happens to the critical value for a chi-square test if the number of categories is increased?

Accepted Answer

A) The critical value increases. 
B) The critical value decreases. 
C) The critical value depends on the sample size, not the number of categories. 
D) The critical value is determined entirely by the alpha level. 
A) The critical value increases. 
B) The critical value decreases. 
C) The critical value depends on the sample size, not the number of categories. 
D) The critical value is determined entirely by the alpha level.

Question 14

A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference for 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) There is not enough information to determine the appropriate decision. 
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) There is not enough information to determine the appropriate decision.

Question 15

Which of the following accurately describes the chi-square distribution?

Accepted Answer

A) Symmetrical with a mean of zero 
B) Positively skewed with all values greater than or equal to zero 
C) Negatively skewed with all values greater than or equal to zero 
D) Symmetrical with a mean equal to n - 1 
A) Symmetrical with a mean of zero 
B) Positively skewed with all values greater than or equal to zero 
C) Negatively skewed with all values greater than or equal to zero 
D) Symmetrical with a mean equal to n - 1

Question 16

The phi-coefficient is used to evaluate effect size for a chi-square test for goodness of fit provided there are only two categories.

Accepted Answer

A) True 
 B)False

Question 17

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

Accepted Answer

A) True 
 B)False

Question 18

Which of the following accurately describes the chi-square test for goodness of fit?

Accepted Answer

A) It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population. 
B) It is similar to a correlation because it uses one sample to evaluate the relationship between two variables. 
C) It is similar to an independent-measures t test because it uses separate samples to evaluate the difference between separate populations. 
D) It is similar to both a correlation and an independent-measures t test because it can be used to evaluate a relationship between variables or a difference between populations. 
A) It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population. 
B) It is similar to a correlation because it uses one sample to evaluate the relationship between two variables. 
C) It is similar to an independent-measures t test because it uses separate samples to evaluate the difference between separate populations. 
D) It is similar to both a correlation and an independent-measures t test because it can be used to evaluate a relationship between variables or a difference between populations.

Question 19

Under what conditions is Cramér's V used to measure effect size for a chi-square test for independence?

Accepted Answer

A) When both variables consist of exactly two categories 
B) When both variables consist of more than two categories 
C) When either of the two variables consists of exactly two categories 
D) When either of the two variables consists of more than two categories 
A) When both variables consist of exactly two categories 
B) When both variables consist of more than two categories 
C) When either of the two variables consists of exactly two categories 
D) When either of the two variables consists of more than two categories

Question 20

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) None of the other options are evaluated by the chi-square test. 
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) None of the other options are evaluated by the chi-square test.

The data for a chi-square test are called observed frequencies.

What values are specified by the null hypothesis for the chi-square test for goodness of fit?

A chi-square test for independence is being used to evaluate the relationship between two variables.If the test has df = 1,what can you conclude about the two variables?

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

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df > 1.

Nonparametric tests are used only with data from a nominal scale.

The chi-square test for independence uses the same formula as the chi-square statistic for the goodness-of-fit test.

One characteristic of nonparametric tests is that they make few,if any,assumptions about the populations being investigated.

Although the outcome for a chi-square test for independence is influenced by sample size,measures of effect size such as the phi-coefficient or Cramér's V are not.

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

What happens to the critical value for a chi-square test if the number of categories is increased?

Which of the following accurately describes the chi-square distribution?

The phi-coefficient is used to evaluate effect size for a chi-square test for goodness of fit provided there are only two categories.

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

Which of the following accurately describes the chi-square test for goodness of fit?

Under what conditions is Cramér's V used to measure effect size for a chi-square test for independence?

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

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 and Two-Factor Analysis of Variance

Correlation and Regression.

Filters

Exam 15: The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The data for a chi-square test are called observed frequencies.

What values are specified by the null hypothesis for the chi-square test for goodness of fit?

A chi-square test for independence is being used to evaluate the relationship between two variables.If the test has df = 1,what can you conclude about the two variables?

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

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df > 1.

Nonparametric tests are used only with data from a nominal scale.

The chi-square test for independence uses the same formula as the chi-square statistic for the goodness-of-fit test.

One characteristic of nonparametric tests is that they make few,if any,assumptions about the populations being investigated.

Although the outcome for a chi-square test for independence is influenced by sample size,measures of effect size such as the phi-coefficient or Cramér's V are not.

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

What happens to the critical value for a chi-square test if the number of categories is increased?

Which of the following accurately describes the chi-square distribution?

The phi-coefficient is used to evaluate effect size for a chi-square test for goodness of fit provided there are only two categories.

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

Which of the following accurately describes the chi-square test for goodness of fit?

Under what conditions is Cramér's V used to measure effect size for a chi-square test for independence?

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

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 and Two-Factor Analysis of Variance

Correlation and Regression.

Filters