The vice-chancellor of a university collected data from students concerning the building of a new library, and classified the responses into different categories (strongly agree, agree, undecided, disagree, strongly disagree) and according to whether the student was male or female. Which of the following tests should be used to test whether responses and gender are independent?
A)Chi-squared test for goodness-of-fit.
B)Chi-squared test for normality.
C)Chi-square test of a multinomial experiment.
D)Chi-squared test of a contingency table.

Question

Quizplus · Accepted Answer

A chi-squared test of a contingency table is used to determine if there is a relationship between two categorical variables, in this case, responses and gender. This test compares the observed frequencies in each category to the expected frequencies if the categories were independent. Therefore, this is the best choice for testing whether the responses and gender are independent.

The Vice-Chancellor of a University Collected Data from Students Concerning