Mathematics

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

The pre-election poll found that a candidate would get 57% of the vote, with a margin of error of 2%, but he still lost the election.

A.The statement makes sense. The actual percentage of people who vote for this candidate is guaranteed to be between 51% and 63%.

B. The statement does not make sense. The actual percentage of people who vote for this candidate is guaranteed to be between 55% and 59%.

C.The statement makes sense. We can only be 95% confident that the actual percentage of people who vote for this candidate is between 55% and 59%. There is still a chance that the actual percentage is less than 50%.

D.The statement does not make sense. We are 95% confident that the actual percentage of people who vote for this candidate is between 55% and 59%. It is highly unlikely that the actual percentage is less than 50%.

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