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: 15b

Answer

P(p̂ > 0.5) =0.1977. This implies that about 20 out of 100 samples of n=200 will contain more than 50% Americans who can order in a foreign language.

Work Step by Step

Using data from part a for p̂ > 0.5, we have: $z = \frac{0.5 - 0.47}{0.035} = 0.86$ P(p̂ > 0.5) = P(z > 0.86) = 0.1977
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