Question 1

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

Accepted Answer

A) True 
 B)False

Question 2

A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2×2 matrix of categories.Which test has the larger value for df?

Accepted Answer

A) the test for goodness of fit 
B) the test for independence 
C) Both tests have the same df value. 
D) The df value depends on the sizes of the samples that are used. 
A) the test for goodness of fit 
B) the test for independence 
C) Both tests have the same df value. 
D) The df value depends on the sizes of the samples that are used.

Question 3

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) greater than 79.08. 
D) less than 79.08. 
A) greater than 7.81. 
B) less than 7.81. 
C) greater than 79.08. 
D) less than 79.08.

Question 4

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 5

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 6

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 7

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 categories.

Accepted Answer

A) True 
 B)False

Question 8

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 9

For a chi-square test for independence, the expected frequencies for any row are exactly the same as the expected frequencies in every other row.

Accepted Answer

A) True 
 B)False

Question 10

What is indicated by a large value for the chi-square statistic?

Accepted Answer

A) The sample data (observed values) do not match the null hypothesis. 
B) There is a good fit between the sample data (observed values) and the null hypothesis. 
C) The observed values from the sample data are consistently larger than the expected values. 
D) The observed values from the sample data are consistently smaller than the expected values. 
A) The sample data (observed values) do not match the null hypothesis. 
B) There is a good fit between the sample data (observed values) and the null hypothesis. 
C) The observed values from the sample data are consistently larger than the expected values. 
D) The observed values from the sample data are consistently smaller than the expected values.

Question 11

A chi-square test for independence has df = 3.What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?

Accepted Answer

A) 4 
B) 6 
C) 8 
D) 9 
A) 4 
B) 6 
C) 8 
D) 9

Question 12

A sample of n = 100 people is classified into four categories.If the results are evaluated with a chi-square test for goodness of fit, what is the df value for the chi-square statistic?

Accepted Answer

A) 3 
B) 4 
C) 99 
D) 100 
A) 3 
B) 4 
C) 99 
D) 100

Question 13

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into 2 categories, then what is the df value for the chi-square statistic?

Accepted Answer

A) df = 1 
B) df = 2 
C) df = 3 
D) cannot determine the value of df from the information provided 
A) df = 1 
B) df = 2 
C) df = 3 
D) cannot determine the value of df from the information provided

Question 14

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

Accepted Answer

A) True 
 B)False

Question 15

When the data form a 2x2 matrix, the phi-coefficient is used to measure effect size for the chi-square test for independence.If other factors are held constant, how does sample size influence the values for phi and chi-square?

Accepted Answer

A) A larger sample increase both phi and chi-square. 
B) A larger sample increases phi but has no effect on chi-square. 
C) A larger sample increases chi-square but has no effect on phi. 
D) Sample size does not influence either phi or chi-square. 
A) A larger sample increase both phi and chi-square. 
B) A larger sample increases phi but has no effect on chi-square. 
C) A larger sample increases chi-square but has no effect on phi. 
D) Sample size does not influence either phi or chi-square.

Question 16

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.

Accepted Answer

A) True 
 B)False

Question 17

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 18

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 can contain fractions and negative 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 can contain fractions and negative numbers.

Question 19

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 are used for a chi-square test for independence, what is the total number of females for the expected frequencies?

Accepted Answer

A) 32 
B) 20 
C) 48 
D) 80 
A) 32 
B) 20 
C) 48 
D) 80

Question 20

If other factors are held constant, increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.

Accepted Answer

A) True 
 B)False

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

A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2×2 matrix of categories.Which test has the larger value for df?

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.

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

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

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

For a chi-square test for independence, the expected frequencies for any row are exactly the same as the expected frequencies in every other row.

What is indicated by a large value for the chi-square statistic?

A chi-square test for independence has df = 3.What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?

A sample of n = 100 people is classified into four categories.If the results are evaluated with a chi-square test for goodness of fit, what is the df value for the chi-square statistic?

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into 2 categories, then what is the df value for the chi-square statistic?

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

When the data form a 2x2 matrix, the phi-coefficient is used to measure effect size for the chi-square test for independence.If other factors are held constant, how does sample size influence the values for phi and chi-square?

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.

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

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

If other factors are held constant, increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores

Probability

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 Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

The Binomial Test

Choosing the Right Statistics

Filters

Exam 17: Chi-Square Tests

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

A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2×2 matrix of categories.Which test has the larger value for df?

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.

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

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

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

For a chi-square test for independence, the expected frequencies for any row are exactly the same as the expected frequencies in every other row.

What is indicated by a large value for the chi-square statistic?

A chi-square test for independence has df = 3.What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?

A sample of n = 100 people is classified into four categories.If the results are evaluated with a chi-square test for goodness of fit, what is the df value for the chi-square statistic?

A chi-square test for independence is used to evaluate the relationship between two variables.If both variables are classified into 2 categories, then what is the df value for the chi-square statistic?

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

When the data form a 2x2 matrix, the phi-coefficient is used to measure effect size for the chi-square test for independence.If other factors are held constant, how does sample size influence the values for phi and chi-square?

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.

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

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

If other factors are held constant, increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores

Probability

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 Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

The Binomial Test

Choosing the Right Statistics

Filters