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What should be your sample size in each of the five cities

Question: The Special Census of Maricopa County, Arizona, gave 1995 populations for the following cities:

City Population

Buckeye 4,857

Gilbert 59,338

Gila Bend 1,724

Phoenix 1,149,417

Tempe 153,821

Suppose you want to estimate the percentage of persons who have been immunized against polio in each city and can take an SRS of persons. What should be your sample size in each of the five cities if you want the estimate from each city to have margin of error of 4 percentage points? For which cities does the finite population correction make a difference?

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