Question 1

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

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. D

Question 2

For either chi-square test, Σfe = Σfo.

Accepted Answer

A) True 
 B)False  True

Question 3

In general, a large value for chi-square indicates a good fit between the sample data and the null hypothesis.

Accepted Answer

A) True 
 B)False  False

Question 4

A chi-square test for independence has df = 2.What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?

Accepted Answer

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

Question 5

The degrees of freedom for a chi-square test are not related to the size of the sample.

Accepted Answer

A) True 
 B)False

Question 6

Which of the following is a basic assumption for a chi-square hypothesis test?

Accepted Answer

A) The population distribution(s) must be normal. 
B) The scores must come from an interval or ratio scale. 
C) The observations must be independent. 
D) All of the other choices are assumptions for chi-square. 
A) The population distribution(s) must be normal. 
B) The scores must come from an interval or ratio scale. 
C) The observations must be independent. 
D) All of the other choices are assumptions for chi-square.

Question 7

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across the six categories in a 2×3 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 8

The data for a chi-square test for independence can be viewed either as representing one sample with two measurements for each participant or as two (or more) separate samples.

Accepted Answer

A) True 
 B)False

Question 9

A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.

Accepted Answer

A) True 
 B)False

Question 10

Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square?

Accepted Answer

A) when the sample proportions match the hypothesized population proportions 
B) when the sample proportions are much different than the hypothesized population proportions 
C) when the sample mean is close to the population mean 
D) when there is a large difference between the sample mean and the population mean 
A) when the sample proportions match the hypothesized population proportions 
B) when the sample proportions are much different than the hypothesized population proportions 
C) when the sample mean is close to the population mean 
D) when there is a large difference between the sample mean and the population mean

Question 11

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

Accepted Answer

A) The critical value also 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 also 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 12

For the chi-square test for goodness-of-fit, the researcher must select a sample with an equal number of individuals in each category.

Accepted Answer

A) True 
 B)False

Question 13

For a fixed level of significance, the critical value for chi-square increases as the degrees of freedom increase.

Accepted Answer

A) True 
 B)False

Question 14

The expected frequencies for a chi-square test are always whole numbers (no fractions or decimals).

Accepted Answer

A) True 
 B)False

Question 15

Under what circumstances should the chi-square statistic not be used?

Accepted Answer

A) if fe > 5 for any cell 
B) if fe e = fo for any cell 
D) None of the other options is correct. 
A) if fe > 5 for any cell 
B) if fe e = fo for any cell 
D) None of the other options is correct.

Question 16

In a chi-square test for independence or goodness of fit _____.

Accepted Answer

A) Σfe = n 
B) Σfe = Σfo 
C) both Σfe = n and Σfe = Σfo 
D) neither Σfe = n nor Σfe = Σfo 
A) Σfe = n 
B) Σfe = Σfo 
C) both Σfe = n and Σfe = Σfo 
D) neither Σfe = n nor Σfe = Σfo

Question 17

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.

Question 18

A researcher obtains a negative value for 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 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 chi-square cannot be negative.

Question 19

What is referred to by the term expected frequencies?

Accepted Answer

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

Question 20

What is referred to by the term observed frequencies?

Accepted Answer

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

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

For either chi-square test, Σf_e = Σf_o.

In general, a large value for chi-square indicates a good fit between the sample data and the null hypothesis.

A chi-square test for independence has df = 2.What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?

The degrees of freedom for a chi-square test are not related to the size of the sample.

Which of the following is a basic assumption for a chi-square hypothesis test?

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across the six categories in a 2×3 matrix of categories.Which test has the larger value for df?

The data for a chi-square test for independence can be viewed either as representing one sample with two measurements for each participant or as two (or more) separate samples.

A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.

Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square?

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

For the chi-square test for goodness-of-fit, the researcher must select a sample with an equal number of individuals in each category.

For a fixed level of significance, the critical value for chi-square increases as the degrees of freedom increase.

The expected frequencies for a chi-square test are always whole numbers (no fractions or decimals).

Under what circumstances should the chi-square statistic not be used?

In a chi-square test for independence or goodness of fit _____.

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

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

What is referred to by the term expected frequencies?

What is referred to by the term observed frequencies?

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

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

For either chi-square test, Σfe = Σfo.

In general, a large value for chi-square indicates a good fit between the sample data and the null hypothesis.

A chi-square test for independence has df = 2.What is the total number of categories (cells in the matrix) that were used to classify individuals in the sample?

The degrees of freedom for a chi-square test are not related to the size of the sample.

Which of the following is a basic assumption for a chi-square hypothesis test?

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories, and a chi-square test for independence is used to examine the distribution of individuals across the six categories in a 2×3 matrix of categories.Which test has the larger value for df?

The data for a chi-square test for independence can be viewed either as representing one sample with two measurements for each participant or as two (or more) separate samples.

A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.

Under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square?

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

For the chi-square test for goodness-of-fit, the researcher must select a sample with an equal number of individuals in each category.

For a fixed level of significance, the critical value for chi-square increases as the degrees of freedom increase.

The expected frequencies for a chi-square test are always whole numbers (no fractions or decimals).

Under what circumstances should the chi-square statistic not be used?

In a chi-square test for independence or goodness of fit _____.

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

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

What is referred to by the term expected frequencies?

What is referred to by the term observed frequencies?

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

For either chi-square test, Σf_e = Σf_o.