Question 1005133
Suppose that a particular candidate for public office is in fact favored by 49% of all registered voters in the district. 
A polling organization will take a random sample of 700 voters and will use p̂^, the sample proportion, to estimate p.
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What is the approximate probability that p̂  will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election? 
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z(0.5) = (0.5-0.49)/sqrt[0.49*0.51/700] = 0.01/0.01889 = 0.5393
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P(p^>0.5) = P(z > 0.5393) = 0.2983
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Cheers,
Stan H.
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