SOLUTION: You want to obtain a sample to estimate a population proportion. You have no reasonable estimate for the population proportion p. You would like to construct a 99% confidence inter
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-> SOLUTION: You want to obtain a sample to estimate a population proportion. You have no reasonable estimate for the population proportion p. You would like to construct a 99% confidence inter
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Question 1191257: You want to obtain a sample to estimate a population proportion. You have no reasonable estimate for the population proportion p. You would like to construct a 99% confidence interval so that your interval estimate is within 2% of the true population proportion.
How large of a sample size is required? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! error=half-interval of a 99%CI=z(0.995)*sqrt(0.5*0.5/n) for most conservative estimate.
0.02=2.576*sqrt(0.25/n)
square both sides
0.0004=6.636*0.25/n
n=1.6589/0.0004
=4147.36 or 4148 units