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 0.04 wi
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Question 1151506: 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 0.04 with 95% confidence if
(a) she uses a previous estimate of 0.52?
(b) she does not use any prior estimates?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Margin of error(ME) = 0.04
:
critical value(CV) for a 95% confidence is 1.96
:
sample size(n) = ( CV^2 * p * (1-p) ) / ME^2
:
(a) n = ( 1.96^2 * 0.52 * (1-0.52) ) / 0.04^2 = 599.2896 is approximately 600
:
(b) when proportion is not known use p = 0.50
:
n = ( 1.96^2 * 0.50 * (1-0.50) ) / 0.04^2 = 600.25 is approximately 601
:
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