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: 9


$0.47\leq p\leq0.57$

Work Step by Step

We have $n=600, \hat p=312/600=0.52, \hat q=0.48$ With c=0.99, $Z_{\alpha/2}=2.58$ the margin of error is $E=2.58\times\sqrt \frac{0.52\times0.48}{600}=0.05$ the confidence interval is $(0.52-0.05, 0.52+0.05)$ The true proportion of married Americans with 99% confidence is $0.47\leq p\leq0.57$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.