Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 8 - Hypothesis Testing - 8-3 Testing a Claim About a Proportion - Beyond the Basics - Page 411: 37


a) $0.7224$ b) $0.2776$ c) The chance is fairly high.

Work Step by Step

a) We first find the value of $s$: $s=\sqrt{\frac{(0.6)(0.4)}{50}}=.0048$ Then we find the value of $\hat{p}: \hat{p}=p+zs=0.29$ Using the equation for $z$ based on $\hat{p}$ and checking the table of z-scores, we find that the probability is $0.7224$. b) We find that the probability is $1−0.7224=0.2776$. c) Since $0.7224$ is a quite good probability, we can see that the chance is fairly high.
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