Let p denote the probability that, for a particular tennis player, the first serve is

Chapter 8, Problem 8.3-4

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QUESTION:

Let p denote the probability that, for a particular tennis player, the first serve is good. Since p = 0.40, this player decided to take lessons in order to increase p. When the lessons are completed, the hypothesis H0: p = 0.40 will be tested against H1: p > 0.40 on the basis of n = 25 trials. Let y equal the number of first serves that are good, and let the critical region be defined by C = {y: y 13}. (a) Determine = P(Y 13; p = 0.40). Use Table II in the appendix. (b) Find = P(Y < 13) when p = 0.60; that is, = P(Y 12; p = 0.60). Use Table II.

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QUESTION:

Let p denote the probability that, for a particular tennis player, the first serve is good. Since p = 0.40, this player decided to take lessons in order to increase p. When the lessons are completed, the hypothesis H0: p = 0.40 will be tested against H1: p > 0.40 on the basis of n = 25 trials. Let y equal the number of first serves that are good, and let the critical region be defined by C = {y: y 13}. (a) Determine = P(Y 13; p = 0.40). Use Table II in the appendix. (b) Find = P(Y < 13) when p = 0.60; that is, = P(Y 12; p = 0.60). Use Table II.

ANSWER:

Step 1 of 5

Given:

Definition binomial probability:

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