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# Let X1,X2, . . . ,Xn be a random sample of Bernoulli ISBN: 9780321923271 41

## Solution for problem 4E Chapter 8.6

Probability and Statistical Inference | 9th Edition

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Problem 4E

PROBLEM 4E

Let X1,X2, . . . ,Xn be a random sample of Bernoulli trials b(1, p).

(a) Show that a best critical region for testing H0: p = 0.9 against H1: p = 0.8 can be based on the statistic  (c) What is the approximate value of β = P[Y > n(0.85); p = 0.8 ] for the test given in part (b)?

(d) Is the test of part (b) a uniformly most powerful test when the alternative hypothesis is H1: p < 0.9?

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##### ISBN: 9780321923271

The full step-by-step solution to problem: 4E from chapter: 8.6 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 4E from 8.6 chapter was answered, more than 248 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This full solution covers the following key subjects: test, part, against, based, Bernoulli. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “Let X1,X2, . . . ,Xn be a random sample of Bernoulli trials b(1, p).(a) Show that a best critical region for testing H0: p = 0.9 against H1: p = 0.8 can be based on the statistic (c) What is the approximate value of ? = P[Y > n(0.85); p = 0.8 ] for the test given in part (b)?(d) Is the test of part (b) a uniformly most powerful test when the alternative hypothesis is H1: p < 0.9?” is broken down into a number of easy to follow steps, and 81 words.

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