For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Case studies showed that out of 10,392 convicts who escaped from certain...


For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.


Case studies showed that out of 10,392 convicts who escaped from certain prisons, only 7535 were recaptured.



(a) Letp represent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate forp. (Round your answer to four decimal places.)




(b) Find a 99% confidence interval forp. (Round your answers to three decimal places.)











lower limit
upper limit


Give a brief statement of the meaning of the confidence interval.

We are 1% confident that the true proportion of recaptured escaped convicts falls within this interval.


We are 99% confident that the true proportion of recaptured escaped convicts falls outside this interval.


  We are 1% confident that the true proportion of recaptured escaped convicts falls above this interval.


We are 99% confident that the true proportion of recaptured escaped convicts falls within this interval.


(c) Is use of the normal approximation to the binomial justified in this problem? Explain.

No;np > 5 andnq <>


No;np < 5="">nq > 5.


Yes;np < 5="">nq <>


Yes;np > 5 andnq > 5.



Jun 08, 2022
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