Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 8 - Hypothesis Testing - 8-2 Basics of Hypothesis Testing - Page 391: 22

Answer

P=0.0124, z=±1.96.

Work Step by Step

The P is the probability of the z-score being more than 2.5 or less than -2.5 is the sum of the probability of the z-score being less than -2.5 plus 1 minus the probability of the z-score being less than 2.5, hence:P=0.0062+1-0.9938=0.0124. The critical value is the z-score belonging to 0.025 to the left or right, hence z=±1.96.
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