Days before a presidential election, a nationwide random sample of registered vo

Question

Days before a presidential election, a nationwide random sample of registered voters was taken. Based on this random sample, it was reported that "52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus±3%." The margin of error was based on a 95% confidence level. Can we say with 95% confidence that Robert Smith will win the election if he needs a simple majority of votes towin?

A Yes, because 50% is within the bounds of the confidence interval

N. No, because the margin of error can never be more than1%

C, Yes, since over 50% of the voters in the sample say they will vote for Robert Smith

D No, because 50% is within the bounds of the confidence interval

Explanation / Answer

ho: p=50%

h1: p > 50%

since 50% is within confidence limits, i fail to reject ho and conclude that p=50%

hence option D is correct

D No, because 50% is within the bounds of the confidence interval

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