The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 18 - Inference in Practice - Chapter 18 Exercises - Page 437: 18.45b

Answer

See below.

Work Step by Step

Power refers to the probability of rejecting the null hypothesis in case of the alternative hypothesis being true. Thus a low power implies that we have a low probability to detect that $H_0$ is false in case of the alternative hypothesis being true. Thus we will have $1-0.2=0.8$ probability of failing to reject the null hypothesis in case of the alternative hypothesis being true.
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