order to estimate the overall proportion of students who favor a shorter semester  system, we selected a simple random sample of 36 students and found that 24 of them  favor a shorter semester system. (a) Construct a 90% confidence interval for the overall proportion of students who  favor a shorter semester system. (b) Find the margin of error associated with this c.i. and interpret the answer in plain  language. (c) In order for the margin of error to be no greater than 0.1 (or 10 percentage  points), how large a sample should be drawn instead?

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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In order to estimate the overall proportion of students who favor a shorter semester 
system, we selected a simple random sample of 36 students and found that 24 of them 
favor a shorter semester system.
(a) Construct a 90% confidence interval for the overall proportion of students who 
favor a shorter semester system.
(b) Find the margin of error associated with this c.i. and interpret the answer in plain 
language.
(c) In order for the margin of error to be no greater than 0.1 (or 10 percentage 
points), how large a sample should be drawn instead? 

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