The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 22 - Inference about a Population Proportion - Apply Your Knowledge - Page 520: 22.3a

Answer

See below.

Work Step by Step

$np=1500\cdot0.9=1350\gt10$, $n(1-p)=1500\cdot0.1=150\gt10$, thus the sampling distribution of $\hat{p}$ is approximately normal with a mean of $p=0.9$ and a standard deviation of $\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.9\cdot0.1}{1500}}\approx0.0039$
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