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3. Your dad claims that he shoots better than 50% from the three-point line. You bet him $100 that doesn't, based on a challenge where

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3. Your dad claims that he shoots better than 50% from the three-point line. You bet him $100 that doesn't, based on a challenge where he attempts 10 shots. After making 8 of his shots, he claims that you owe him $100. You say that you do not, because you cannot reject the null hypothesis that he shoots exactly 50%. (3) Use the normal approximation to the binomial to compute the p-value of his perfor- mance under the null hypothesis that p = 0.5, against the alternative that p > 0.5. (b) Compute the exact p-value of his observed performance (relative to the same test as above) using the binomial distribution. (0) Use this scenario to argue why it is important to set your test level before you observe your data. Hint: use the pnorm() and mm or m0 functions in R

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