Question 1

The expected values of a contingency table are calculated based on the assumption that H₀ is ____________________.

Accepted Answer

The answer of The expected values of a contingency table...

Question 2

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

Accepted Answer

The answer of The alternative hypothesis in a chi-squared test...

Question 3

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

Accepted Answer

Assume H₀ is true and use your data to calculate them.

Question 4

The chi-squared test of a contingency table is based upon:

Accepted Answer

The chi-squared test is used to analyze the relationship between two categorical variables in a contingency table, making it appropriate for analyzing two qualitative variables. Therefore, the best choice is D.

Question 5

The number of degrees of freedom for a contingency table with r rows and c columns is:

Accepted Answer

The formula for degrees of freedom for a contingency table is (r-1)(c-1). This formula takes into account the fact that the last row and last column can be determined from the previous rows and columns, thus reducing the number of independent entries in the table. Therefore, the correct answer is (r-1)(c-1).

Question 6

The number of degrees of freedom associated with a chi-squared test of a contingency table is ____________________.

Accepted Answer

The answer of The number of degrees of freedom associated...

Question 7

A large chi-squared test statistic in a test of a contingency table means you conclude:

Accepted Answer

A large chi-squared test statistic indicates a significant relationship between the two nominal variables in a contingency table. Therefore, you would conclude that the two variables are dependent, not equal, and not necessarily having the same proportions as listed in H₀.

Question 8

You find the expected value for each cell in a chi-squared test for a contingency table by multiplying the ____________________ total by the ____________________ total and dividing by the sample size,n.

Accepted Answer

The answer of You find the expected value for each...

Question 9

The degrees of freedom for the test statistic in a test of a contingency table is (r − 1)(c − 1)where r is the number of rows in the table,and c is the number of columns.

Accepted Answer

This is a true statement. The degrees of freedom for a test of a contingency table is calculated using the formula (r-1)(c-1), where r is the number of rows in the table and c is the number of columns. This formula takes into account the number of categories being compared and the constraints imposed by the row and column totals of the table.

Question 10

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ² = 13.58.Using the χ² tables,the most accurate statement that can be made about the p-value for this test is that:

Accepted Answer

With 6 degrees of freedom and a test statistic of 13.58, the p-value falls between .025 and .05 according to the χ² tables. Therefore, the best choice is D.

Question 11

Which statistical technique is appropriate when we wish to analyze the relationship between two qualitative variables with two or more categories?

Accepted Answer

The chi-squared test of a contingency table is the appropriate statistical technique when analyzing the relationship between two qualitative variables with two or more categories. This test determines if there is a statistically significant relationship between the variables by comparing the observed frequencies in a contingency table to the expected frequencies under the assumption of independence.

Question 12

A chi-squared test statistic in a test of a contingency table that is equal to zero means:

Accepted Answer

A chi-squared test statistic that is equal to zero means that there is no relationship between the two nominal variables and hence they are independent. It does not mean that the variables are equal or have the same proportions.

Question 13

The chi-squared test of a(n)____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

Accepted Answer

The answer of The chi-squared test of a(n)____________________ is used...

Question 14

The number of degrees of freedom for a contingency table with 4 rows and 8 columns is

Accepted Answer

The number of degrees of freedom for a contingency table is calculated by the formula (r-1)(c-1), where r is the number of rows and c is the number of columns. 
In this case, (4-1)(8-1) = 3x7 = 21, so the answer is (C) 21.

Question 15

If you reject H₀ in a test of a contingency table,you conclude that based on your data:

Accepted Answer

Rejecting H₀ in a test of a contingency table suggests that there is a significant association or relationship between the two nominal variables, which does not align with any of the provided choices directly.

Question 16

The null hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

Accepted Answer

The answer of The null hypothesis in a chi-squared test...

Question 17

To address whether two variables are related in a contingency table,the alternative hypothesis,H₁,is:

Accepted Answer

In a contingency table, we compare two categorical variables to see if there is a relationship between them. The null hypothesis states that the two variables are independent of each other, meaning there is no association between them. The alternative hypothesis, in this case, is that the two variables are dependent, meaning there is an association between them. Therefore, the correct answer is B.

Question 18

Contingency tables are used in:

Accepted Answer

Contingency tables are used to study the relationship between two categorical variables by showing the frequencies or relative frequencies of each combination of categories. This is useful when trying to test for independence of two qualitative variables in a population. Therefore, choice C is the correct answer.

Question 19

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:

Accepted Answer

To determine the p-value for this chi-squared test, we would need to know the degrees of freedom. This can be calculated as (number of rows - 1) * (number of columns - 1) = 3 * 4 = 12. Looking at a chi-squared table with 12 degrees of freedom, we see that the critical value for alpha = 0.05 is 21.03 and for alpha = 0.025 is 23.34. Since our test statistic (22.18) falls between these two critical values, we can conclude that the p-value is greater than 0.025 but smaller than 0.05. Therefore, the correct answer choice is C.

Question 20

To address whether two variables are related in a contingency table,the null hypothesis,H₀,says that

Accepted Answer

The null hypothesis H₀ states that the two variables are independent, meaning that there is no relationship between them. Therefore, if the null hypothesis is true, the variables are not related, and if it is rejected, it implies that there is evidence of dependence between the two variables. Therefore, a rejection of the null hypothesis would suggest that the alternative hypothesis is true, which states that the two variables are related.

Quiz 15: Chi-Squared Tests

The expected values of a contingency table are calculated based on the assumption that H₀ is ____________________.

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

The chi-squared test of a contingency table is based upon:

The number of degrees of freedom for a contingency table with r rows and c columns is:

The number of degrees of freedom associated with a chi-squared test of a contingency table is ____________________.

A large chi-squared test statistic in a test of a contingency table means you conclude:

You find the expected value for each cell in a chi-squared test for a contingency table by multiplying the total by the total and dividing by the sample size,n.

The degrees of freedom for the test statistic in a test of a contingency table is (r − 1)(c − 1)where r is the number of rows in the table,and c is the number of columns.

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ² = 13.58.Using the χ² tables,the most accurate statement that can be made about the p-value for this test is that:

Which statistical technique is appropriate when we wish to analyze the relationship between two qualitative variables with two or more categories?

A chi-squared test statistic in a test of a contingency table that is equal to zero means:

The chi-squared test of a(n)____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

The number of degrees of freedom for a contingency table with 4 rows and 8 columns is

If you reject H₀ in a test of a contingency table,you conclude that based on your data:

The null hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

To address whether two variables are related in a contingency table,the alternative hypothesis,H₁,is:

Contingency tables are used in:

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:

To address whether two variables are related in a contingency table,the null hypothesis,H₀,says that

Quiz 15: Chi-Squared Tests

The expected values of a contingency table are calculated based on the assumption that H0 is ____________________.

The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

The chi-squared test of a contingency table is based upon:

The number of degrees of freedom for a contingency table with r rows and c columns is:

The number of degrees of freedom associated with a chi-squared test of a contingency table is ____________________.

A large chi-squared test statistic in a test of a contingency table means you conclude:

You find the expected value for each cell in a chi-squared test for a contingency table by multiplying the ____________________ total by the ____________________ total and dividing by the sample size,n.

The degrees of freedom for the test statistic in a test of a contingency table is (r − 1)(c − 1)where r is the number of rows in the table,and c is the number of columns.

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ2 = 13.58.Using the χ2 tables,the most accurate statement that can be made about the p-value for this test is that:

Which statistical technique is appropriate when we wish to analyze the relationship between two qualitative variables with two or more categories?

A chi-squared test statistic in a test of a contingency table that is equal to zero means:

The chi-squared test of a(n)____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

The number of degrees of freedom for a contingency table with 4 rows and 8 columns is

If you reject H0 in a test of a contingency table,you conclude that based on your data:

The null hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

To address whether two variables are related in a contingency table,the alternative hypothesis,H1,is:

Contingency tables are used in:

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:

To address whether two variables are related in a contingency table,the null hypothesis,H0,says that

The expected values of a contingency table are calculated based on the assumption that H₀ is ____________________.

You find the expected value for each cell in a chi-squared test for a contingency table by multiplying the total by the total and dividing by the sample size,n.

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ² = 13.58.Using the χ² tables,the most accurate statement that can be made about the p-value for this test is that:

If you reject H₀ in a test of a contingency table,you conclude that based on your data:

To address whether two variables are related in a contingency table,the alternative hypothesis,H₁,is:

To address whether two variables are related in a contingency table,the null hypothesis,H₀,says that