SOLUTION: A student believes that no more than 20% of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students i

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Question 899093: A student believes that no more than 20% of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students in the sample received A’s. At the 1% significance level, test the hypothesis that more than 20% of the students received A’s.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Ho: p ≤ 0.2 (Hypothesis)

Ha: p > .2 



sample proportion = p-hat = .24

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test stat:: z(0.24) = (0.24-0.2)/sqrt[0.2*0.8/100] = .04/.04 =  1

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p-value = P(z > 1) = .1587  0r 15.87%

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Conclusion: 

Since the p-value is greater than 1%, accept the Hypothesis