Suppose that a particular candidate for public office is in fact favored by 48% of all registered

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Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district. A polling organization will take a random sample of 500 voters and will use p^, the sample proportion, to estimate p. What is the approximate probability that p^ will be greater than .5, causing the polling organization to incorrectly predict the result of the upcoming election?
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