Question 1

What happens to the critical value for a chi-square test if the size of the sample is increased?​

Accepted Answer

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

Question 2

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) ​if fe =7 for any cell 
A) ​if fe > 5 for any cell 
B) ​if fe e = fo for any cell 
D) ​if fe =7 for any cell B

Question 3

Cramér's V is used to evaluate effect size for the chi-square test for independence whenever the test has df > 1.​

Accepted Answer

A) True 
 B)False  True

Question 4

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 5

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 6

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) ​four 
B) ​six 
C) ​eight 
D) ​nine 
A) ​four 
B) ​six 
C) ​eight 
D) ​nine

Question 7

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 8

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 9

A researcher would like to know whether there is a consistent,predictable relationship between verbal skills and math skills for high school students.A sample of 200 students is obtained and each student is given a standardized English test and a standardized math test.Based on the test results,students are classified as high or low for verbal skills and for math skills.The results are summarized in the following frequency distribution:   ​ 
a. Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Test at the .05 level of significance.
b. Compute the phi-coefficient to measure the strength of the relationship.

Accepted Answer

a.The null hypothesis states that there

Question 10

The chi-square test for independence is similar to a correlation because it evaluates the relationship between two variables.​

Accepted Answer

A) True 
 B)False

Question 11

The chi-square test for goodness of fit evaluates the distribution for one variable,and the test for independence evaluates the relationship between two variables.​

Accepted Answer

A) True 
 B)False

Question 12

The primary purpose of the chi-square test and the tests for mean differences is to evaluate the strength of a relationship,while the primary purpose of a Pearson correlation is to measure the significance of the relationship.​

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

A researcher is interested consumer preferences among three brands of yogurt.A sample of 90 people is obtained and each individual is asked to taste each brand and then select his/her favorite.The resulting frequency data are as follows:​ $$\begin{array} { | c | c | c | } 
\hline \text { Brand A } & \text { Brand B } & \text { Brand C } \
\hline 37 & 21 & 32 \
\hline
\end{array}$$ ​Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.

Accepted Answer

The null hypothesis states that the thre

Question 15

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

Question 16

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 17

What is stated by the null hypothesis for the chi-square test for independence?​

Accepted Answer

A) ​There is a relationship between the two variables. 
B) ​There is no relationship between the two variables. 
C) ​Both variables have the same frequency distribution. 
D) ​The two variables have different frequency distributions. 
A) ​There is a relationship between the two variables. 
B) ​There is no relationship between the two variables. 
C) ​Both variables have the same frequency distribution. 
D) ​The two variables have different frequency distributions.

Question 18

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 19

When the data form a 2 x 2 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 the sample size influence the values for phi and chi-square?​

Accepted Answer

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

Question 20

A chi-square test should not be used if any expected frequency is less than five.​

Accepted Answer

A) True 
 B)False

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

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

Cramér's V is used to evaluate effect size for the chi-square test for independence whenever the test has df > 1.

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.

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

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?

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

The chi-square test for independence is similar to a correlation because it evaluates the relationship between two variables.

The chi-square test for goodness of fit evaluates the distribution for one variable,and the test for independence evaluates the relationship between two variables.

The primary purpose of the chi-square test and the tests for mean differences is to evaluate the strength of a relationship,while the primary purpose of a Pearson correlation is to measure the significance of the relationship.

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

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

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

What is stated by the null hypothesis for the chi-square test for independence?

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.

When the data form a 2 x 2 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 the sample size influence the values for phi and chi-square?

A chi-square test should not be used if any expected frequency is less than five.

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 Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Binomial Test

Filters

Exam 17: The Chi-Square Statistic: Tests for Goodness of Fit and Independence

What happens to the critical value for a chi-square test if the size of the sample is increased?​

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

Cramér's V is used to evaluate effect size for the chi-square test for independence whenever the test has df > 1.​

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.​

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

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?​

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

The chi-square test for independence is similar to a correlation because it evaluates the relationship between two variables.​

The chi-square test for goodness of fit evaluates the distribution for one variable,and the test for independence evaluates the relationship between two variables.​

The primary purpose of the chi-square test and the tests for mean differences is to evaluate the strength of a relationship,while the primary purpose of a Pearson correlation is to measure the significance of the relationship.​

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

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

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

What is stated by the null hypothesis for the chi-square test for independence?​

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.​

When the data form a 2 x 2 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 the sample size influence the values for phi and chi-square?​

A chi-square test should not be used if any expected frequency is less than five.​

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 Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Binomial Test

Filters

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

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

Cramér's V is used to evaluate effect size for the chi-square test for independence whenever the test has df > 1.

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.

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

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?

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

The chi-square test for independence is similar to a correlation because it evaluates the relationship between two variables.

The chi-square test for goodness of fit evaluates the distribution for one variable,and the test for independence evaluates the relationship between two variables.

The primary purpose of the chi-square test and the tests for mean differences is to evaluate the strength of a relationship,while the primary purpose of a Pearson correlation is to measure the significance of the relationship.

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

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

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

What is stated by the null hypothesis for the chi-square test for independence?

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.

When the data form a 2 x 2 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 the sample size influence the values for phi and chi-square?

A chi-square test should not be used if any expected frequency is less than five.