Answered: a) Evaluate α assuming that p=0.6. Use…

Name: The proportion of adults living in a small town who are college gradua
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Description: 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 sha

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. Complete parts (a) through (c) below.

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

b) Evaluate β for the alternatives p=0.5 and p=0.7

(c) Is this a good test procedure? Consider a value of α to be relatively small if it is less than 0.1000 and relatively large if it is greater than 0.1000..

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