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 - Vocabulary and Skill Building - Page 419: 14c

Answer

0.0606

Work Step by Step

To calculate $P(p̂ \leq 0.40)$, we need to find the z-score: $z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$ $= \frac{.40-.42}{0.013}$ = -1.55 $P(z \leq -1.55) = 0.0606$, hence: $P(p̂ \leq 0.40) = 0.0606$
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