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: 12

Answer

1068

Work Step by Step

We are given $E=0.03, c=0.95$ so $Z_{\alpha/2}=1.96$ without knowing the proportion, we use $\hat p=\hat q=0.5$ The number of sample required $n=0.5^2\times(\frac{1.96}{0.03})^2\approx1068$ (round upwards here)
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