Question 320759
A political strategist claims that 55% of voters in Madison County support his candidate. In a poll of 200 randomly selected voters, 98 of them support the strategist's candidate.  At  = .05, is the political strategist's claim warranted?
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Ho: p = 0.55 (claim)
Ha: p not equal to 0.55
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sample proportion = 98/200 = 0.49
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z(0.49) = (0.49-0.55)/sqrt[0.55*0.45/200] = -1.7056
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p-value = 2*P(z < -1.7056) = 2*normalcdf(-1000,-1.7056) = 0.0881
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Since the p-value is greater than 5%, faill to reject Ho.
The test results support the claim.
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cheers,
Stan H.