SOLUTION: You wish to test the following claim (Ha) with a .01 significance level.
H0: p1 = p2
Ha: p1 does not equal p2
You obtain 18.6% successes in a sample of size n1 = 291 from the
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-> SOLUTION: You wish to test the following claim (Ha) with a .01 significance level.
H0: p1 = p2
Ha: p1 does not equal p2
You obtain 18.6% successes in a sample of size n1 = 291 from the
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Question 478328: You wish to test the following claim (Ha) with a .01 significance level.
H0: p1 = p2
Ha: p1 does not equal p2
You obtain 18.6% successes in a sample of size n1 = 291 from the first population. You obtain 13.2% successes in a sample of size n2 = 744 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
I'm having trouble with this entire problem. I can't get the test statistic or p-value to turn out right. Can you tell me what I'm supposed to be looking for/doing step by step? Thank you! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! You wish to test the following claim (Ha) with a .01 significance level.
H0: p1 = p2
Ha: p1 does not equal p2
You obtain 18.6% successes in a sample of size n1 = 291 from the first population. You obtain 13.2% successes in a sample of size n2 = 744 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
p1-p2 = (0.185-0.132)/sqrt[(0.186*0.0.814)/291 + (0.132*0.868/744)] = 2.0410
test statistic =2.0410
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What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 2*P(z > 2.0410) = 0.0413
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Conclusion: Since the p-value is greater than 1% fail to reject Ho.
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Cheers,
Stan H.
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