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
b) Find the critical values
c) Compute the test values
d) Make the decision
e) Summarize the results
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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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