Question 741969
A political strategist believes that at least 58% of voters in a certain state support his candidate. He then commissions a poll of 500 voters and 60% of them support his candidate. At α = .05, test the claim. 
a) State the hypotheses and identify the claim
Ho: p >= 0.58 (clsim)
Ha: p < 0.58
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b) Find the critical values
z = -1.645
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c) Compute the test values
z(0.6) = (0.6-0.58)/sqrt(0.58*0.42/500) = 0.9061
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d) Make the decision
Since the test statistic is not in the reject interval,
fail to reject Ho.
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e) Summarize the results
The test results do not support the claim at the 5% significance level.
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Cheers,
Stan H.
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