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OpenStax, Introductory Statistics 2e §8.3 A Population Proportion · Exercise 46 · Statistics · Confidence intervals

A Population Proportion · Exercise 46

A national survey of 1,000 adults was conducted by Rasmussen Reports. It concluded with 95% confidence that 49% to 55% of Americans believe that big-time college sports programs corrupt the process of higher education.

(a) Find the point estimate and the error bound for this confidence interval.
(b) Can we (with 95% confidence) conclude that more than half of all American adults believe this?
(c) Use the point estimate from part a and n = 1,000 to calculate a 75% confidence interval for the proportion of American adults that believe that major college sports programs corrupt higher education.
(d) Can we (with 75% confidence) conclude that at least half of all American adults believe this?

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OpenStax, Introductory Statistics 2e · §8.3 A Population Proportion · Exercise 46

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