Let Y be b(100, p). To test H0: p = 0.08 against H1: p <

Chapter 8, Problem 1E

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QUESTION:

PROBLEM 1E

Let Y be b(100, p). To test H0: p = 0.08 against H1: p < 0.08, we rejectH0 and acceptH1 if and only if Y ≤ 6.

(a) Determine the significance level α of the test.

(b) Find the probability of the Type II error if, in fact, p = 0.04.

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QUESTION:

PROBLEM 1E

Let Y be b(100, p). To test H0: p = 0.08 against H1: p < 0.08, we rejectH0 and acceptH1 if and only if Y ≤ 6.

(a) Determine the significance level α of the test.

(b) Find the probability of the Type II error if, in fact, p = 0.04.

ANSWER:

Step 1 of 7

Given:

Reject  if

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