Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 7 - Confidence Intervals and Sample - Review Exercises - Section 7-3 - Page 408: 10


$0.41\leq p\leq 0.53$

Work Step by Step

Given $n=400, \hat p=189/400=0.4725, \hat q=0.5275, c=0.98$ we have $Z_{\alpha/2}=2.33$ and $E=2.33\times\sqrt \frac{0.4725\times0.5275}{400}=0.058$ The confidence interval is $(0.4725-0.058, 0.4725+0.058)$ The true proportion of adults participating in some kind of formal education program with 98% confidence is $0.41\leq p\leq 0.53$
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