Question: As part of a standard course evaluation, students are asked to rate a particular course as poor, good or excellent. The course evaluation form also asks students to indicate whether or not the course taken was a required part of their academic program or was taken as an elective. The Dean of the college is interested in whether there is a relationship between the rating of the course and the reason for taking the course. The following results were obtained:

Course Rating

Reason for taking course Poor Good Excellent Total

Required 16 38 16 70

Elective 4 10 16 30

Total 20 48 32 100

At the 5% level of significance, can it be concluded that there is a relationship between the reason for taking the course and course rating? Formulate and test the appropriate hypotheses. Use the critical value approach.