QM2 Chapter 10 Chi-square

In a chi-square goodness of fit test, the observed frequencies are compared to expected frequencies, and the test determines whether there is a significant difference between them.

• True

• False

The chi-square goodness of fit test is used to determine whether there is a significant association between two categorical variables.

• True

• False

Which of the following statements is true regarding the chi-square goodness of fit test?

• It compares two categorical variables.

• It is used to assess the independence between two variables.

• It compares observed and expected frequencies in one categorical variable.

• It is used for comparing means of two groups.

What is the null hypothesis for a chi-square test of independence?

• There is no relationship between the variables.

• The variables are normally distributed.

• There is a significant relationship between the variables.

• The observed frequencies match the expected frequencies.

In a chi-square goodness of fit test, the degrees of freedom are equal to the number of categories minus one.

• True

• False

In a chi-square goodness of fit test with three categories, how many degrees of freedom would there be?

• 0

• 1

• 2

• 3

In a chi-square test of independence, what does a p-value less than the chosen significance level (e.g., 0.05) indicate?

• No relationship between the variables.

• A need for more data.

• A significant relationship between the variables.

• The test violates the assumptions.

Which of the following is NOT a requirement for performing a chi-square goodness of fit test?

• Two or more categorical variables.

• A clear definition of expected frequencies.

• Discrete data.

• Independence of observations.