SOLUTION: The percentage of people with advanced degrees is 16.5% on average. If 1000 people are randomly selected, what is the probability that the percentage of these people with advanced
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Question 1106372: The percentage of people with advanced degrees is 16.5% on average. If 1000 people are randomly selected, what is the probability that the percentage of these people with advanced degrees is between 17% and 18.5%?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The percentage of people with advanced degrees is 16.5% on average. If 1000 people are randomly selected, what is the probability that the percentage of these people with advanced degrees is between 17% and 18.5%?
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p = 0.165
q = 0.835
n = 1000
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population standard deviation = sqrt(npq)
sample standard deviation = x/sqrt(n) = sqrt(p*q) = 0.37
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z(.17) = (0.17-0.165)/0.37 = 0.0135
z(0.185) = (0.185-0.165)/0.37 = 0.02/0.37 = 0.054
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P(0.17 < p < 0.185) = P(0.0135< z < 0.054) = normalcdf(0.0135,0.054) = 0.0164
= 1.64%
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Cheers,
Stan H.
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