A researcher at a major hospital wishes to estimate theproportion of the adult p

Question

A researcher at a major hospital wishes to estimate theproportion of the adult population of the U.S. that has high bloodpressure. How large a sample is needed in order to be 90%confident that the sample proportion will not differ from the trueproportion by more than 4%? (please be as detailed as possible. I need all the helpI can get. Also, if you can, show me how to do this on theTI-83.) Thanks, Kim A researcher at a major hospital wishes to estimate theproportion of the adult population of the U.S. that has high bloodpressure. How large a sample is needed in order to be 90%confident that the sample proportion will not differ from the trueproportion by more than 4%? (please be as detailed as possible. I need all the helpI can get. Also, if you can, show me how to do this on theTI-83.) Thanks, Kim

Explanation / Answer

=0.1, Z(0.05)=1.645 (check normal table) E=0.04, n=p*(1-p)*(Z/E)^2 (since p is unknown, let p=0.5) =0.5*(1-0.5)*(1.645/0.04)^2 =422.82 Take n=423

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