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Do Americans Tend to Vote for the Taller of the Two

Question 32

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Do Americans tend to vote for the taller of the two candidates in a presidential election? In 30 of our presidential elections since 1856, 18 of the winners were taller than their opponents. Assume that Americans are not biased by a candidate's height and that the winner is just as likely to be taller or shorter than his opponent. Is the observed number of taller winners in the U.S. presidential elections unusual?
Find the approximate probability of finding 18 or more of the 30 pairs in which the taller candidate wins.
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Based on your answer to part (a), can you conclude that Americans consider a candidate's height when casting their ballot?
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