A two year community college has decided to implement a new approach to teaching probability. Full-time and adjunct faculty were surveyed to determine whether they preferred the traditional lecture approach or a computer approach to teaching probability. The results are listed below. Use hypothesis testing to test the independence of opinion between the two groups. Prefer Lecture Prefer Computer No Preference

Full-time 8 13 6

Adjunct 11 22 10

Required:

a. Calculate the expected value of an adjunct professor who prefers to lecture.

b. What is the expected value of an adjunct professor who prefers computer instruction