Understanding the Chi-Square Test

What is the primary purpose of the chi-square test?

• To calculate the median of a dataset

• To assess the variance of a dataset

• To find the relationship between two categorical variables

• To determine the mean of a dataset

Which of the following is NOT a categorical variable?

• Frequency of television watching

• Body weight

• Preferred newspaper

• Gender

In a survey to investigate the relationship between gender and education level, what is the first step?

• Analyze the data

• Create a questionnaire

• Publish the results

• Perform a chi-square test

What is the significance of a p-value greater than 0.05 in a chi-square test?

• The test is invalid

• There is no significant relationship between variables

• The null hypothesis is rejected

• There is a significant relationship between variables

Which software is mentioned for performing a chi-square test?

• SPSS

• R

• Excel

• Data Tab

What is the first step in manually calculating the chi-square value?

• Determine the degree of freedom

• Calculate the expected frequencies

• Compare observed and expected frequencies

• Find the critical value

How do you determine the degree of freedom in a chi-square test?

• Number of rows minus one times number of columns minus one

• Number of rows times number of columns

• Number of rows minus number of columns

• Number of rows plus number of columns

What does a chi-square value smaller than the critical value indicate?

• The null hypothesis is rejected

• The null hypothesis is not rejected

• There is a significant relationship

• The test is inconclusive

What is the critical chi-square value used for?

• To compare with the calculated chi-square value

• To find the median

• To determine the sample size

• To calculate the mean

What is the outcome if the calculated chi-square value is less than the critical value?

• The null hypothesis is rejected

• The null hypothesis is accepted

• The test is invalid

• The data is incorrect