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: 19

Answer

P=0.0802, $z=\pm1.96$.

Work Step by Step

The P is the probability of the z-score being more than 1.75 or less than -1.75 is the sum of the probability of the z-score being less than -1.75 plus 1 minus the probability of the z-score being less than 1.75, hence:P=0.0401+1-0.9599=0.0802 .The critical value is the z-score belonging to 0.025 to the left or right, hence $z=\pm1.96$.
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