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)      (Show Source): 
You can  put this solution on YOUR website! 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. 
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