Question 187760: I have a problem in my statistics home work. I ask this question before but I missed a very important part.Here is the whole question:
In a recent poll it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43% the level of singifiance is 0.01
Ho:
Ha:
alpha=
Test statistics:
P-value or critical Zo or to.
Rejection region:
Decision:
Interpretation:
I would like to thank you in advance for your help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a recent poll it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43% the level of singifiance is 0.01
Ho: p = 0.43
Ha: p is not equal to 0.43
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alpha=1%
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Test statistics: z(0.35) = (0.35-0.43)/sqrt[0.43*0.57/100] = -1.6159
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P-value or critical Zo or to.: z*= +/-2.576
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Rejection region: z<-2.576 ; z > 2.576
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Decision: Since the test satistic is not in the rejection interval(s),
Fail to reject Ho
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Interpretation:
The test results provide evidence for Ho, that 43% of registered U.S. voters would vote for the incumbent president.
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Cheers,
Stan H.
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