A candidate for one of Ohio\'s two U.S. Senate seats wishes to compare her suppo

Question

A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate. Reference: Ref 21-1 For purposes of comparing the two proportions, the sampling distribution for the difference in the sample proportions has standard error A. 0.300. B. 0.022. C. 0.016. D. 0.0002.

Explanation / Answer

Suppose we have two populations with proportions equal to P1 and P2
d = sqrt{ [ P1(1 - P1) / n1 ] + [ P2(1 - P2) / n2 ] }

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