The 1996 GSS asked, If the husband in a family wants children, but the wife decides that

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The 1996 GSS asked, “If the husband in a family wants children, but the wife decides that she does not want any children, is it all right for the wife to refuse to have children?” Of 699 respondents, 576 said yes.
a. Find a 99% confidence interval for the population proportion who would say yes. Can you conclude that the population proportion exceeds 75%? Why?
b. Without doing any calculation, explain whether the interval in part a would be wider or narrower than a 95% confidence interval for the population proportion who would say yes.
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