SOLUTION: A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.0

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Question 1114783: A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.02 with 99​% confidence if
​(a) she uses a previous estimate of 0.36​?
​(b) she does not use any prior​ estimates?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
0.02=2.576*sqrt(.36*.64/n)
0.00776=sqrt(.36*.64/n)
0.000060279=.36*.64/n, squaring both sides
n=(.2304)/0.0000602668
n=3822.21 or 3823
for p=0.5, where the product of 0.5 and 0.5 is a maximum for p(1-p)
n=.25/0.0000602668, or n=4148.22 rounding to 4149.