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Math · Statistics And Probability
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Case studies showed that out of 10,351 convicts who escaped from U.S. prisons, 7867 were recaptured. Let p represent the proportion of all escaped convicts who will eventually be recaptured. (a) using the Central Limit Theorem, find a 99% confidence interval for p. Do not round any intermediate steps, and round the endpoints to three places. Work must be shown in order to receive credit for part a, since the answer to part b is identical (b) Find a 99% confidence interval for p using a bootstrap distribution (with at least 5000 bootstrap samples). Copy screenshots of the bootstrap dot plot (with percentiles visible) and original sample box into your assignment. Your interval endpoints in part b should be the same as your interval endpoints in part a. (c) Is it reasonable to conclude that the proportion of all escaped convicts who will eventually be recaptured is less than.8? Why or why not?

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