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?
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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Question
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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