Question 1

When the chi-square test for independence is significant,this indicates that two categorical variables are independent.

Accepted Answer

A) True 
 B)False

Question 2

One way a researcher can correct for having expected frequencies smaller than five is to increase the levels of the categorical variable such that the number of levels

Accepted Answer

A) is equal to the sample size 
B) is greater than four 
C) is less than five 
D) is minimal 
A) is equal to the sample size 
B) is greater than four 
C) is less than five 
D) is minimal

Question 3

A local ice cream shop wants to see if they should promote a new swizzleberry swirl or creamsicle flavored drink.In order to determine which one to promote,they took a sample of 80 patrons and asked them to choose which they preferred.The one that is significantly preferred over the other (at a .05 level of significance)will be promoted.It is expected that an equal number of patrons will choose each flavor.Based on the observed frequencies given below,what is the decision for this test?

Accepted Answer

A) Promote the swizzleberry swirl flavored drink. 
B) Promote the creamsicle flavored drink. 
C) Do not promote any flavored drinks. 
D) There is not enough information to answer this question. 
A) Promote the swizzleberry swirl flavored drink. 
B) Promote the creamsicle flavored drink. 
C) Do not promote any flavored drinks. 
D) There is not enough information to answer this question.

Question 4

A researcher conducts two chi-square tests.The 2 $\times$ 2 chi-square was $\chi$2 = 3.92.The 2 $\times$ 3 chi-square was $\chi$2 = 5.92.Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?

Accepted Answer

A) the 2 $\times$ 2 chi-square 
B) the 2 $\times$ 3 chi-square 
C) both chi-square tests results in a decision to reject the null hypothesis 
D) none;both chi-square tests result in a decision to retain the null hypothesis 
A) the 2 $\times$ 2 chi-square 
B) the 2 $\times$ 3 chi-square 
C) both chi-square tests results in a decision to reject the null hypothesis 
D) none;both chi-square tests result in a decision to retain the null hypothesis

Question 5

If a researcher computes a chi-square goodness-of-fit test in which k = 4 and n = 40,then the degrees of freedom for this test is 3.

Accepted Answer

A) True 
 B)False

Question 6

A researcher selects a sample of 110 participants and computes the following phi correlation coefficient:   = 0.31.What is the value of   ?

Accepted Answer

A) 3.84 
B) 10.57 
C) 34.10 
D) There is not enough information to answer this question. 
A) 3.84 
B) 10.57 
C) 34.10 
D) There is not enough information to answer this question.

Question 7

A 2 $\times$ 3 chi-square test for independence has 2 degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 8

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected.Hence,the decision was to

Accepted Answer

A) reject the null hypothesis 
B) retain the null hypothesis 
C) no decision was made 
A) reject the null hypothesis 
B) retain the null hypothesis 
C) no decision was made

Question 9

A researcher asks participants to taste each of three meals and to choose the one they like best.The same foods are in each meal,expect for the calorie total of the meal (which is low,moderate,or high calorie).Based on the observed frequencies given below,what is an appropriate conclusion for this test at a .05 level of significance?

Accepted Answer

A) Participants liked the high calorie meal more than the low calorie meal. 
B) Participants liked the low calorie meal less than the moderate calorie meal. 
C) Participants liked the high calorie meal more than was expected. 
D) all of the above 
A) Participants liked the high calorie meal more than the low calorie meal. 
B) Participants liked the low calorie meal less than the moderate calorie meal. 
C) Participants liked the high calorie meal more than was expected. 
D) all of the above

Question 10

Which of the following is an example of a nonparametric test?

Accepted Answer

A) analysis of variance 
B) the t-tests 
C) chi-square test 
D) Pearson correlation 
A) analysis of variance 
B) the t-tests 
C) chi-square test 
D) Pearson correlation

Question 11

As a general rule,the larger the degrees of freedom for a chi-square test,

Accepted Answer

A) the smaller the critical value will be 
B) the larger the critical value will be 
C) the smaller the level of significance will be 
D) the larger the level of significance will be 
A) the smaller the critical value will be 
B) the larger the critical value will be 
C) the smaller the level of significance will be 
D) the larger the level of significance will be

Question 12

The interpretation of a 2 $\times$ 2 chi-square test for independence is similar to what other type of statistical test?

Accepted Answer

A) goodness-of-fit chi-square test 
B) 2 $\times$ 2 analysis of variance 
C) phi correlation coefficient 
D) two-independent sample t-test 
A) goodness-of-fit chi-square test 
B) 2 $\times$ 2 analysis of variance 
C) phi correlation coefficient 
D) two-independent sample t-test

Question 13

A researcher conducts a chi-square goodness-of-fit test in which k = 2 and  
= 3.92.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 14

Many nonparametric tests are called ________ because they make no assumptions regarding the shape of the distribution in the population.

Accepted Answer

A) parametric tests 
B) skewed-distribution tests 
C) significance-free tests 
D) distribution-free tests 
A) parametric tests 
B) skewed-distribution tests 
C) significance-free tests 
D) distribution-free tests

Question 15

A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test?

Accepted Answer

A) Job security and job satisfaction are related. 
B) Job security and job satisfaction are dependent. 
C) Job security and job satisfaction are independent. 
D) Both A and B are appropriate. 
A) Job security and job satisfaction are related. 
B) Job security and job satisfaction are dependent. 
C) Job security and job satisfaction are independent. 
D) Both A and B are appropriate.

Question 16

Homogeneity of variance is one assumption for the chi-square goodness-of-fit test.

Accepted Answer

A) True 
 B)False

Question 17

The observed frequencies can be summarized,

Accepted Answer

A) in a table 
B) in a figure 
C) in the main text 
D) all of the above 
A) in a table 
B) in a figure 
C) in the main text 
D) all of the above

Question 18

When k = 3,then the critical value for a chi-square goodness-of-fit test is 7.81.

Accepted Answer

A) True 
 B)False

Question 19

Which of the following is an example of a parametric test?

Accepted Answer

A) analysis of variance 
B) one-sample t-test 
C) Pearson correlation 
D) all of the above 
A) analysis of variance 
B) one-sample t-test 
C) Pearson correlation 
D) all of the above

Question 20

Which of the following is recorded using a chi-square goodness-of-fit test and a chi-square test for independence?

Accepted Answer

A) variance 
B) frequency observed 
C) frequency expected 
D) both B and C 
A) variance 
B) frequency observed 
C) frequency expected 
D) both B and C

When the chi-square test for independence is significant,this indicates that two categorical variables are independent.

One way a researcher can correct for having expected frequencies smaller than five is to increase the levels of the categorical variable such that the number of levels

A researcher conducts two chi-square tests.The 2 $\times$ 2 chi-square was $\chi$ ² = 3.92.The 2 $\times$ 3 chi-square was $\chi$ ² = 5.92.Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?

If a researcher computes a chi-square goodness-of-fit test in which k = 4 and n = 40,then the degrees of freedom for this test is 3.

A researcher selects a sample of 110 participants and computes the following phi correlation coefficient: = 0.31.What is the value of ?

A 2 $\times$ 3 chi-square test for independence has 2 degrees of freedom.

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected.Hence,the decision was to

Which of the following is an example of a nonparametric test?

As a general rule,the larger the degrees of freedom for a chi-square test,

The interpretation of a 2 $\times$ 2 chi-square test for independence is similar to what other type of statistical test?

A researcher conducts a chi-square goodness-of-fit test in which k = 2 and = 3.92.What is the decision for this test at a .05 level of significance?

Many nonparametric tests are called ________ because they make no assumptions regarding the shape of the distribution in the population.

A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test?

Homogeneity of variance is one assumption for the chi-square goodness-of-fit test.

The observed frequencies can be summarized,

When k = 3,then the critical value for a chi-square goodness-of-fit test is 7.81.

Which of the following is an example of a parametric test?

Which of the following is recorded using a chi-square goodness-of-fit test and a chi-square test for independence?

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

When the chi-square test for independence is significant,this indicates that two categorical variables are independent.

One way a researcher can correct for having expected frequencies smaller than five is to increase the levels of the categorical variable such that the number of levels

A researcher conducts two chi-square tests.The 2 ×\times× 2 chi-square was χ\chiχ 2 = 3.92.The 2 ×\times× 3 chi-square was χ\chiχ 2 = 5.92.Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?

If a researcher computes a chi-square goodness-of-fit test in which k = 4 and n = 40,then the degrees of freedom for this test is 3.

A researcher selects a sample of 110 participants and computes the following phi correlation coefficient: = 0.31.What is the value of ?

A 2 ×\times× 3 chi-square test for independence has 2 degrees of freedom.

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected.Hence,the decision was to

Which of the following is an example of a nonparametric test?

As a general rule,the larger the degrees of freedom for a chi-square test,

The interpretation of a 2 ×\times× 2 chi-square test for independence is similar to what other type of statistical test?

A researcher conducts a chi-square goodness-of-fit test in which k = 2 and = 3.92.What is the decision for this test at a .05 level of significance?

Many nonparametric tests are called ________ because they make no assumptions regarding the shape of the distribution in the population.

A researcher tests whether job security and life satisfaction are related.In this study,he observes the following frequencies.If he computes a test for independence at a .05 level of significance,then what is the decision for this test?

Homogeneity of variance is one assumption for the chi-square goodness-of-fit test.

The observed frequencies can be summarized,

When k = 3,then the critical value for a chi-square goodness-of-fit test is 7.81.

Which of the following is an example of a parametric test?

Which of the following is recorded using a chi-square goodness-of-fit test and a chi-square test for independence?

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

A researcher conducts two chi-square tests.The 2 $\times$ 2 chi-square was $\chi$ ² = 3.92.The 2 $\times$ 3 chi-square was $\chi$ ² = 5.92.Which chi-square test resulted in a decision to reject the null hypothesis at a .05 level of significance?

A 2 $\times$ 3 chi-square test for independence has 2 degrees of freedom.

The interpretation of a 2 $\times$ 2 chi-square test for independence is similar to what other type of statistical test?