A candidate for mayor hires a statistician to determine the amount of support he

Question

A candidate for mayor hires a statistician to determine the amount of support he has for the upcoming election. The statistician tests the null hypothesis that the population proportion equals 50% against the alternative hypothesis that the population proportion is greater than 50%. The results of a simple random sample of 91 registered voters can be found in the printout below. The conclusion which can be reached is: The candidate can be quite confident that he has more than 50% of the vote. The p-value of 0.0044 tells us that we cannot reject the null hypothesis and that the candidate has 50% or less of the vote. The p-value of 0.0044 indicates that it is not very likely to get an observed value of 0.637 if the null hypothesis is true. 1 only II only III only I and II I and III

Explanation / Answer

Since the P - Value is very small, it indicates that thesample data supports the claim
stated in the alternative hypothesis. So the candidate can be quite confident that he has more than50% of the vote is the only conclusion we can have from the given output. (A) I only is the correct option.

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