SOLUTION: An accounting professor claims that no more than one-quarter of undergraduate business students will major in accounting. What is the probablity that in a random sample of 1,200 u

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Question 452468: An accounting professor claims that no more than one-quarter of undergraduate business students will major in accounting. What is the probablity that in a random sample of 1,200 undergraduate business students, 336 or more will major in accounting?
Answer by stanbon(75887) About Me  (Show Source):
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An accounting professor claims that no more than one-quarter of undergraduate business students will major in accounting. What is the probablity that in a random sample of 1,200 undergraduate business students, 336 or more will major in accounting?
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mean = np = 0.25(1200) = 300
std = sqrt(npq) = sqrt[300*0.75] = 15
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z(336) = (336-300)/[15/sqrt(1200)] = 83
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P(phat > 336) = p(z > 83) is practically zero.
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Cheers,
Stan H.