A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal, they will select an SRS of students and ask each respondent if he or she would patronize this type of establishment. They expect that about 71% of the student body would respond favorably. a) What sample size is required to obtain a 80% confidence interval with an approximate margin of error of 0.045? b) Suppose that 51% of the sample responds favorably. Calculate the margin of error for the 80% confidence interval.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal, they will select an SRS of students and ask each respondent if he or she would patronize this type of establishment. They expect that about 71% of the student body would respond favorably.

a) What sample size is required to obtain a 80% confidence interval with an approximate margin of error of 0.045?

b) Suppose that 51% of the sample responds favorably. Calculate the margin of error for the 80% confidence interval.

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