Question 484930: I am really struggling with this question & have to expres why it does or does not support the claim , if anyone can help me I appreciate it greatly!
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%. Use = 0.01. (Round phat to 2 decimal places.)
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 for the incumbent.
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phat = 0.35
Test the claim that the actual proportion is 43%. Use = 0.01. (Round phat to 2 decimal places.)
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Ho: p = 0.43 (claim)
Ha: p is not equal to 0.43
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z(0.35) = (0.35-0.43)/sqrt[0.43*0.57/100] = -1.6159
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p-value = 2*P(z < -1.6159) = 0.1061
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Since the p-value is greater than 1%, fail to reject Ho
at the 1% level.
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The test results support the claim.
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Cheers,
Stan H.
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