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A random sample of elementary school children in New York state is to be selected to...

A random sample of elementary school children in New York state is to be selected to estimate the proportion ?p who have received a medical examination during the past year. An interval estimate of the proportion p with a margin of error of 0.035 and 99% confidence is required.

(a)    Assuming no prior information about p^ is available, approximately how large of a sample size is needed?

n=

b)    If a planning study indicates that p^ is around 0.70.7, approximately how large of a sample size is needed?

n=

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