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A medical researcher wishes to determine the percentage of females who take vitamins. He wishes to be 99% confident that the estimate is within 2%

A medical researcher wishes to determine the percentage of females who take vitamins. He wishes to be 99% confident that the estimate is within 2% percentage points of the true proportion. A recent study of 180 females showed that 25% look vitamins.

a. How large should the sample size be?

b. If no estimate of the sample proportion is available, how large should the sample be?

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