Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 7 - Estimates and Sample Sizes - Review - From Data to Decision - Page 371: 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. Thus, we first must find the number of people who answered yes: $= .7 \times 1501 = 1051$ Plugging this, as well as the population size of 241 million Americans, into a confidence interval calculator, we 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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