SOLUTION: According to the U.S Higher Education Institute 56% of incoming college freshmen in the U.S are women. A random sample of 500 incoming college freshmen from a cluster of several U.

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Question 952511: According to the U.S Higher Education Institute 56% of incoming college freshmen in the U.S are women. A random sample of 500 incoming college freshmen from a cluster of several U.S colleges is selected:
What is probability that a majority of the sampled incoming freshmen would be women?
Answer by stanbon(75887) About Me  (Show Source):
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According to the U.S Higher Education Institute 56% of incoming college freshmen in the U.S are women. A random sample of 500 incoming college freshmen from a cluster of several U.S colleges is selected:
What is probability that a majority of the sampled incoming freshmen would be women?
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z(0.5) = (0.5-0.56)/sqrt[0.56*0.44/500] = -2.7028
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P(p > 0.50) = P(z > -2.7028) = normalcdf(-2.7028,100) = 0.9966
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cheers,
Stan H.
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