For this problem, carry at least four digits after the decimal in your calculati

Question

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 10,256 convicts who escaped from certain prisons, only 8240 were recaptured. (a) Let p represent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit

Explanation / Answer

Solutiona:

point estimate =sample proprtion

=x/n

=8240/10256

=0.8034

ANSWER:0.8034

Solutionb:

Z crit for 99%=2.576

n=10256

99% confdience interval for pis

p^-Zsqrt(p^(1-p^)/n,p6+Zsqrt(p^(1-p^)/n

w0.8034+2.576*sqrt(0.8034*(1-0.8034)/10256

0.793,0.814

lower limit=0.793

upper limit=0.814

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