Solved: The proportion of adults living in a small town

Chapter 10, Problem 10.6

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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 the 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 assuming that p =0 .6. Use the binomial distribution. (b) Evaluate for the alternatives p =0 .5 and p =0 .7. (c) Is this a good test procedure?

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