The Basic Practice of Statistics 7th Edition

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

Chapter 17 - Tests of Significance: The Basics - Chapter 17 Exercises - Page 413: 17.36

Answer

See below.

Work Step by Step

The $P$-value is the probability of obtaining a value that is more extreme or equal to the standardised test statistic if the null hypothesis is true. Hence $P\gt0.5$ means that $P$ is very large, which implies that it is probable to get the sample result or more extreme, which thus implies that there is no evidence agains the null hypothesis of no change.
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