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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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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