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 418: 11c

Answer

0.0047

Work Step by Step

To calculate $P(p̂ \leq 0.68),$ we need to find the z-score: $z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$ $= \frac{0.68 - 0.8}{0.046}$ = -2.61 $P(z \leq -2.61) = 0.0047$, hence: $P(x̄ \leq 0.68) = 0.0047$
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