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The General Social Survey asked the following question: If your party nominated a woman for President, would you vote for her if she were qualified

The General Social Survey asked the following question: If your party nominated a woman for
President, would you vote for her if she were qualified for the job? 23,257 people said YES and
3,531 people said NO. Conduct a hypothesis test at the =0.05 level to see if the true population
proportion ( ) is greater than 0.85.
(a) What are assumptions?
(b) What are the null and alternative hypotheses?
(c) Compute the test statistic.
(d) Find the p-value.
(e) Make a conclusion and interpret it in the context of the problem.
(f) Find a 95% confidence interval for the true population proportion ( ). Are the
conclusions based on the confidence interval consistent with the results of the hypothesis
test? (Hint: Is 0.85 in the confidence interval?)

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