Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 8 - Review - Review Exercises - Page 422: 8b

Answer

$P(p̂ \leq 0.70) = 0.1379$

Work Step by Step

To calculate $P(p̂ \leq 70)$, we need to find the z-score: $z = \frac{p̂ - μ_{p̂}}{σ_{p̂}}$ $= \frac{.70-.72}{0.0183}$ = -1.09 $P(z \leq -1.11) = 0.1379$, hence: $P(p̂ \leq 0.70) = 0.1379$
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