The president of a large university collected data from students concerning building 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. To determine whether the data provide sufficient evidence to indicate that the responses depend upon gender, which of the following would be the most appropriate test?
A) a chi-square goodness-of-fit test
B) a chi-square test of a contingency table (test of independence)
C) a chi-square test of normality
D) a chi-square test of abnormality

Question

Quizplus · Accepted Answer

The most appropriate test in this case would be a chi-square test of a contingency table (test of independence) as we want to determine if there is a relationship between the two categorical variables (responses and gender) and if they are independent or not. A chi-square goodness-of-fit test would be more appropriate if we were comparing the observed frequencies to the expected frequencies of a single categorical variable. A chi-square test of normality or abnormality would be used to test if a sample is from a normal or non-normal population.

The President of a Large University Collected Data from Students