Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 7 - Estimates and Sample Sizes - Review - From Data To Decision - Page 377: 1

Answer

($67.5,72.5$)

Work Step by Step

The standard deviation is not given in this problem, so we must use a confidence interval program that does not involve standard deviation. Hence first we must find the number of people who answered yes: $0.7\cdot1501=1051$ Plugging in this together with the population size of $241$ million Americans, into a confidence interval calculator, we can find that the lower limit is $70−2.5=67.5$ and that the upper limit is $70+2.5=72.5$. This is our $95$ percent confidence interval.
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