Suppose that (unknown to you) 55% of all undergraduates favor eliminating supple

Question

Suppose that (unknown to you) 55% of all undergraduates favor eliminating supplemental fees for lab courses. If you took a very large number of simple random samples of size n = 250 from this population, the sampling distribution of the sample proportion would be approximately Normal with

A. mean 0.55 and standard deviation 0.015.
B. mean 0.60 and standard deviation 0.06.
C. mean 0.55 and standard deviation 0.06.
D. mean 0.60 and standard deviation 0.03.
E. mean 0.55 and standard deviation 0.03.

Explanation / Answer

Solution: option E. mean 0.55 and standard deviation 0.03.

Explanation:- standard deviation = sqrt [ p ( 1 - p) / n] = sqrt [ (0.55 * 0.44) / 250] = 0.03

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