SOLUTION: In a sample of 500 college students fifty percent of all college students attend schools within 50 miles of their homes. The probability that the population proportion will be betw
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Question 286784: In a sample of 500 college students fifty percent of all college students attend schools within 50 miles of their homes. The probability that the population proportion will be between 0.45 and 0.55 is?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a sample of 500 college students fifty percent of all college students attend schools within 50 miles of their homes. The probability that the population proportion will be between 0.45 and 0.55 is?
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z(0.45) = (0.45-0.5)/sqrt(0.5*0.5/500) = -2.2361
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z(0.55) = 0.55-0.5)/sqrt(0.5*0.5/500) = 2.2361
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P(0.45 < p < 0.55) = P(-2.2361 < z < 2.2361) = 0.9747
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Cheers,
Stan H.
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