Question: The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6. To test this hypothesis, a

The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6.

To test this hypothesis, a random sample of 15 adults is selected. If the number of college graduates in our sample is anywhere from 6 to 12, we shall not reject the null hypothesis that p = 0.6; otherwise, we shall conclude that p ^ 0.6.

(a) Evaluate a assuming that p = 0.6. Use the binomial distribution.

(b) Evaluate 8 for the alternatives p = 0.5 and p — 0.7.

(c) Is this a good test procedure?

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