Question 187760
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.