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Freddie is a tennis player who is working on his first serve. While practicing, he gets 12 out of 20 of his first serves in. Freddie wants to know if his long-run proportion of getting his first serve in is greater than 50%.
a. What is the value of the statistic? use the appropriate symbol in your answer.
b. Suppose you find that the mean is .5, and the SD = .125 calculate the standardized statistic showing your set up.
c. Discuss in context what your conclusion would be to Freddie's question based on the standardized score, and explain why you make that conclusion.
d. Suppose you want to use the One Proportion applet to generate 100 simulated samples. What do you put in for each of the following: Probability of heads? Number of tosses? Number of repetitions?
e. Suppose when you run the applet, you get the results shown. Interpret the p value in the context of this problem.
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