6. A school system has a high rate of turn-over among newteachers. Specifically, 30% of the teachers that are hired leavewithin 2 years. The superintendent is concerned about the problemand institutes a program of teacher mentoring that he hopes willimprove retention of the teachers. After the first 2 years of theprogram, he evaluates whether it is working by recording whathappened with the 16 teachers who were hired at the start of theprogram. He finds that 3 of original 16 have left.
a. Complete the relevant hypothesis test, using ? = .05.
b. Suppose that the mentoring program actually does improveretention to the point where the true probability of a teacherleaving is actually 10%. What was the power of the principal’sstudy? What does the number you compute mean in English? Explainthe relevance (or lack of relevance) of your power calculation toyour conclusion in part ‘a.’
