Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 8 - Section 8.2 - Assess Your Understanding - Applying the Concepts - Page 419: 18d

Answer

$P(p˂\leq 0.25) = 0.0244$. This implies that about 2 out of 100 samples of size n = 500 will have 25% or fewer individuals who do not have a credit card. This is unusual as p < 0.05.

Work Step by Step

In a random sample of 500 adults, we have 125 or fewer without a credit card: $\hat p=\frac{125}{500}=0.25$ $z=\frac{\hat p-\mu_p}{\sigma_p}=\frac{0.25-0.29}{0.02029}=-1.98$ $P(Z
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