Mathematics, 13.11.2019 23:31 javonteoshamccaliste
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 500voters and will use p, the sample proportion, to estimate p. what is the approximate probability that p will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election?
Answers: 2
be the sample proportion of voters in the district favored a particular candidate for public office .![P(\hat{p}0.5)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\dfrac{0.5-0.48}{\sqrt{\dfrac{0.48(0.52)}{500}}})\\\\=P(z0.8951)\ \ [\because\ z=(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z\leq0.8951)\ \ [\because\ P(Zz)=1-P(Z\leq z)]\\\\ = 1-0.8146=0.1854](/tpl/images/0373/0941/9ae75.png)
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Suppose that a particular candidate for public office is in fact favored by 48%of all registered vot...
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