Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 9 - Inferences from Two Samples - 9-4 Two Dependent Samples (Matched Pairs) - Basic Skills and Concepts - Page 474: 5


Fail to reject the null hypothesis.

Work Step by Step

$H_{0}:\mu_d=0,$ $H_{a}:\mu_d$ is more than 0. The test statistic is:$z=\frac{\overline{d}-\mu_d}{s_d/\sqrt{n}}=\frac{0.0.0588235-0}{9.604106/\sqrt{5}}=0.035713579.$ The P is the corrseponging probability using the table, hence P=0.4858629. If the P-value is less than $\alpha$, which is the significance level, then this means the rejection of the null hypothesis. Hence:P=0.0.4858629 is more than $\alpha=0.05$, hence we fail to reject the null hypothesis.
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