Question 1

A chi-square goodness-of-fit test is used to determine how well a set of observed frequencies "fits" with what was expected.

Accepted Answer

A) True 
 B)False

Question 2

Which of the following is a key assumption for a chi-square goodness-of-fit test?

Accepted Answer

A) The observed frequencies are independently recorded in each cell. 
B) The variance between groups is equal. 
C) There is no mean difference between groups. 
D) The proportion in each cell is equal to zero. 
A) The observed frequencies are independently recorded in each cell. 
B) The variance between groups is equal. 
C) There is no mean difference between groups. 
D) The proportion in each cell is equal to zero.

Question 3

To compute the expected frequencies for a chi-square test for independence,we use which of the following formulas?

Accepted Answer

A) k - 1 
B) p(n) 
C) (row total + column total)/grand total 
D) (row total   Column total)/grand total 
A) k - 1 
B) p(n) 
C) (row total + column total)/grand total 
D) (row total   Column total)/grand total

Question 4

To summarize the chi-square test,report the test statistic,the degrees of freedom,and the p value.

Accepted Answer

A) True 
 B)False

Question 5

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences

Accepted Answer

A) at each level of the categorical variable 
B) across the levels of the categorical variable 
C) within and between expected frequencies 
A) at each level of the categorical variable 
B) across the levels of the categorical variable 
C) within and between expected frequencies

Question 6

To summarize the chi-square goodness-of-fit test,which of the following is reported?

Accepted Answer

A) test statistic 
B) p value 
C) degrees of freedom 
D) all of the above 
A) test statistic 
B) p value 
C) degrees of freedom 
D) all of the above

Question 7

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences _________ of the categorical variable.

Accepted Answer

A) outside the levels 
B) across the levels 
C) at each level 
D) between the levels 
A) outside the levels 
B) across the levels 
C) at each level 
D) between the levels

Question 8

Which of the following is an appropriate measure of effect size for a 2 $\times$ 2 chi-square test for independence?

Accepted Answer

A) proportion of variance 
B) the phi coefficient 
C) Cramer's V 
D) all of the above 
A) proportion of variance 
B) the phi coefficient 
C) Cramer's V 
D) all of the above

Question 9

A researcher conducts a chi-square goodness-of-fit test in which k = 5.What is the critical value for this test at a .05 level of significance?

Accepted Answer

A) 4 
B) 5 
C) 9.49 
D) 11.07 
A) 4 
B) 5 
C) 9.49 
D) 11.07

Question 10

One way a researcher can correct for having expected frequencies smaller than five is to increase the sample size such that

Accepted Answer

A) it is equal to the number of cells 
B) it is three times larger than the number of cells 
C) it is five times larger than the number of cells 
D) it is seven times smaller than the number of cells 
A) it is equal to the number of cells 
B) it is three times larger than the number of cells 
C) it is five times larger than the number of cells 
D) it is seven times smaller than the number of cells

Question 11

A researcher computes a 2 $\times$ 3 chi-square test for independence.What is the critical value for this test at a .05 level of significance?

Accepted Answer

A) 3.84 
B) 5.99 
C) 7.81 
D) 12.59 
A) 3.84 
B) 5.99 
C) 7.81 
D) 12.59

Question 12

A chi-square goodness-of-fit test shows that the frequencies observed equal those that were expected.Hence,the value of the test statistic is

Accepted Answer

A) equal to 0 
B) less than 0 
C) small;less than the critical value but not necessarily equal to 0 
D) large;greater than the critical value 
A) equal to 0 
B) less than 0 
C) small;less than the critical value but not necessarily equal to 0 
D) large;greater than the critical value

Question 13

A researcher computes a 4 $\times$ 6 chi-square test for independence with a sample of 120 participants,with   = 14.79.What is the effect size for this result?

Accepted Answer

A) 0.04 
B) 0.20 
C) 0.12 
D) 0.35 
A) 0.04 
B) 0.20 
C) 0.12 
D) 0.35

Question 14

A researcher conducts a chi-square goodness-of-fit test in which k = 3 and   = 4.32.What is the decision for this test at a .05 level of significance?

Accepted Answer

A) Retain the null hypothesis. 
B) Reject the null hypothesis. 
C) There is not enough information to answer this question. 
A) Retain the null hypothesis. 
B) Reject the null hypothesis. 
C) There is not enough information to answer this question.

Question 15

A 2 $\times$ 2 chi-square test for independence has 4 degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 16

A researcher compares the frequency of participants who sleep primarily on their stomach,back,or side during the night.What is the critical value for a chi-square goodness-of-fit test at a .05 level of significance?

Accepted Answer

A) 2 
B) 3 
C) 3.84 
D) 5.99 
A) 2 
B) 3 
C) 3.84 
D) 5.99

Question 17

The value of the test statistic for a chi-square test is equal to 0 when there is no difference between observed and expected frequencies,and it gets larger,or more positive,as the differences get larger.

Accepted Answer

A) True 
 B)False

Question 18

When at least one categorical variable has more than two levels,Cramer's V is used to estimate effect size for a chi-square test for independence.

Accepted Answer

A) True 
 B)False

Question 19

The degrees of freedom for a chi-square test for independence test are

Accepted Answer

A) k - 1 
B) n - 1 
C) (k1 - 1)(k2 - 1) 
D) (k - 1)(n - 1) 
A) k - 1 
B) n - 1 
C) (k1 - 1)(k2 - 1) 
D) (k - 1)(n - 1)

Question 20

One restriction for measuring frequency data is that the size of expected frequencies should never be less than five in a given cell.

Accepted Answer

A) True 
 B)False

A chi-square goodness-of-fit test is used to determine how well a set of observed frequencies "fits" with what was expected.

Which of the following is a key assumption for a chi-square goodness-of-fit test?

To compute the expected frequencies for a chi-square test for independence,we use which of the following formulas?

To summarize the chi-square test,report the test statistic,the degrees of freedom,and the p value.

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences

To summarize the chi-square goodness-of-fit test,which of the following is reported?

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences _________ of the categorical variable.

Which of the following is an appropriate measure of effect size for a 2 $\times$ 2 chi-square test for independence?

A researcher conducts a chi-square goodness-of-fit test in which k = 5.What is the critical value for this test at a .05 level of significance?

One way a researcher can correct for having expected frequencies smaller than five is to increase the sample size such that

A researcher computes a 2 $\times$ 3 chi-square test for independence.What is the critical value for this test at a .05 level of significance?

A chi-square goodness-of-fit test shows that the frequencies observed equal those that were expected.Hence,the value of the test statistic is

A researcher conducts a chi-square goodness-of-fit test in which k = 3 and = 4.32.What is the decision for this test at a .05 level of significance?

A 2 $\times$ 2 chi-square test for independence has 4 degrees of freedom.

A researcher compares the frequency of participants who sleep primarily on their stomach,back,or side during the night.What is the critical value for a chi-square goodness-of-fit test at a .05 level of significance?

The value of the test statistic for a chi-square test is equal to 0 when there is no difference between observed and expected frequencies,and it gets larger,or more positive,as the differences get larger.

When at least one categorical variable has more than two levels,Cramer's V is used to estimate effect size for a chi-square test for independence.

The degrees of freedom for a chi-square test for independence test are

One restriction for measuring frequency data is that the size of expected frequencies should never be less than five in a given cell.

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Central Tendency

Summarizing Data: Variability

Probability

Probability, Normal Distributions, and Z Scores

Probability and Sampling Distributions

Hypothesis Testing: Significance, Effect Size, and Power

Testing Means: One-Sample and Two-Independent Sample T Tests

Testing Means: Related Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated Measures Design

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Tests for Ordinal Data

Filters

Exam 17: Nonparametric Tests: Chi-Square Tests

A chi-square goodness-of-fit test is used to determine how well a set of observed frequencies "fits" with what was expected.

Which of the following is a key assumption for a chi-square goodness-of-fit test?

To compute the expected frequencies for a chi-square test for independence,we use which of the following formulas?

To summarize the chi-square test,report the test statistic,the degrees of freedom,and the p value.

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences

To summarize the chi-square goodness-of-fit test,which of the following is reported?

To appropriately interpret the chi-square goodness-of-fit test,it is necessary to compare differences _________ of the categorical variable.

Which of the following is an appropriate measure of effect size for a 2 ×\times× 2 chi-square test for independence?

A researcher conducts a chi-square goodness-of-fit test in which k = 5.What is the critical value for this test at a .05 level of significance?

One way a researcher can correct for having expected frequencies smaller than five is to increase the sample size such that

A researcher computes a 2 ×\times× 3 chi-square test for independence.What is the critical value for this test at a .05 level of significance?

A chi-square goodness-of-fit test shows that the frequencies observed equal those that were expected.Hence,the value of the test statistic is

A researcher computes a 4 ×\times× 6 chi-square test for independence with a sample of 120 participants,with = 14.79.What is the effect size for this result?

A researcher conducts a chi-square goodness-of-fit test in which k = 3 and = 4.32.What is the decision for this test at a .05 level of significance?

A 2 ×\times× 2 chi-square test for independence has 4 degrees of freedom.

A researcher compares the frequency of participants who sleep primarily on their stomach,back,or side during the night.What is the critical value for a chi-square goodness-of-fit test at a .05 level of significance?

The value of the test statistic for a chi-square test is equal to 0 when there is no difference between observed and expected frequencies,and it gets larger,or more positive,as the differences get larger.

When at least one categorical variable has more than two levels,Cramer's V is used to estimate effect size for a chi-square test for independence.

The degrees of freedom for a chi-square test for independence test are

One restriction for measuring frequency data is that the size of expected frequencies should never be less than five in a given cell.

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Central Tendency

Summarizing Data: Variability

Probability

Probability, Normal Distributions, and Z Scores

Probability and Sampling Distributions

Hypothesis Testing: Significance, Effect Size, and Power

Testing Means: One-Sample and Two-Independent Sample T Tests

Testing Means: Related Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated Measures Design

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Tests for Ordinal Data

Filters

Which of the following is an appropriate measure of effect size for a 2 $\times$ 2 chi-square test for independence?

A researcher computes a 2 $\times$ 3 chi-square test for independence.What is the critical value for this test at a .05 level of significance?

A 2 $\times$ 2 chi-square test for independence has 4 degrees of freedom.