SOLUTION: an accounting professor claim less than one quarter of undergraduate business students will major in accounting. what is the probability that random sample of 1200 undergraduate bu

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Question 979782: an accounting professor claim less than one quarter of undergraduate business students will major in accounting. what is the probability that random sample of 1200 undergraduate business students, 336 or more will major in accounting?
Answer by Boreal(15235) About Me  (Show Source):
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One sample proportion
Ho=p<0.25
Ha=p>=0.25
alpha =0.05 (choose)
one-tail test
critical value: z>1.645
(336/1200)=0.28
standard error: sqrt{ (0.25)*(0.75)/1200}=0.0125
z=(0.28-0.25)/0.0125 = 2.4. This exceeds the critical value and the null hypothesis is rejected with p,0.01.