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: 18b

Answer

P(p̂ > 0.3) = 0.3121. This implies that about 3 out of 100 samples of size n = 500 have more than 30% individuals who do not have a credit card.

Work Step by Step

Using data from part a for p̂ > 0.3, we have: $z = \frac{0.3 - 0.29}{0.02} = 0.49$ P(p̂ > 0.3) = P(z > 0.49) = 0.3121
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