Question: 8.15 p^ and the Normal distribution. Consider the binomial setting with n=45 . You are testing the null hypothesis that p=0.7 versus the two-sided alternative

8.15 p^ and the Normal distribution. Consider the binomial setting with n=45 . You are testing the null hypothesis that p=0.7 versus the two-sided alternative with a 5% chance of rejecting the null hypothesis when it is true.

a. Find the values of the sample proportion p^ that will lead to rejection of the null hypothesis.

b. Repeat part (a), assuming a sample size of n=90 .

c. Make a sketch illustrating what you have found in parts

(a) and (b). What does your sketch show about the effect of the sample size in this setting?

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