Chi-Squared Tests: A Quiz

What is the primary purpose of the Chi-squared test for goodness of fit?

• To compare the means of two independent samples

• To determine if a sample data matches a population with a specific distribution

• To assess the relationship between two categorical variables

• To test the equality of variances

Which of the following is a requirement for using the Chi-squared test for independence?

• The data must be normally distributed

• The data must be categorical

• The data must be continuous

• The data must have equal variances

In a Chi-squared test for homogeneity, what is being tested?

• Whether two variables are independent

• Whether the observed frequencies match the expected frequencies

• Whether different populations have the same distribution

• Whether the sample mean is equal to the population mean

What is the formula for the Chi-squared statistic?

Which of the following is NOT a type of Chi-squared test?

• Goodness of fit

• Homogeneity

• Independence

• Correlation

What is the null hypothesis in a Chi-squared test for independence?

• The two variables are independent

• The two variables are dependent

• The sample data fits a specific distribution

• The sample means are equal

Tags

CCSS.HSS.IC.B.3

In a Chi-squared test, what does a large Chi-squared statistic indicate?

• Strong evidence against the null hypothesis

• Weak evidence against the null hypothesis

• No evidence against the null hypothesis

• The data is normally distributed

What is the degree of freedom for a Chi-squared test for independence in a contingency table with 3 rows and 4 columns?

• 6

• 7

• 8

• 9

Which of the following is a limitation of the Chi-squared test?

• It can only be used for continuous data

• It requires a large sample size

• It can only be used for normally distributed data

• It is only applicable to paired data

In a Chi-squared test for goodness of fit, what are the expected frequencies based on?

• The observed data

• The hypothesized distribution

• The sample mean

• The sample variance