In an exit poll, for which the sample size is 2537, the sampling distribution of

Question

In an exit poll, for which the sample size is 2537, the sampling distribution of the sample proportion voting for the has mean 0.492 and standard deviation 0.014. Would a sample proportion from the exit poll of p = 0.537 be a plausible value expected in the exit poll? Why? A. No. It does not lie within one standard deviation of the mean sample proportion. B. Yes. It lies within three standard deviations of the mean sample proportion. C. No. It does not lie within three standard deviations of the mean sample proportion. D. Yes, it lies within two standard deviations of the mean sample proportion.

Explanation / Answer

here test stat z=(phat-p)/std error =(0.537-0.492)/0.014=3.214

hence option C is correct

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