Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 11 - Other Chi-Square Tests - Review Exercises - Section 11-2 - Page 642: 10

Answer

Yes.

Work Step by Step

$H_o:$ At $\alpha=$0.10, there is not sufficient evidence to conclude a dependent relationship between gender and procedure. $H_a:$ At $\alpha=$0.10, there is sufficient evidence to conclude a dependent relationship between gender and procedure. $df=(3-1)(2-1)=2, \chi^2_c=4.605$ Calculate the expected values based on the data table. Men 406.6375661 276.2890212 260.0734127 Women 245.3624339 166.7109788 156.9265873 Calculate $\chi^2=\sum\frac{(O-E)^2}{E}=59.95$ As $\chi^2>4.605$ we reject the null hypothesis. At α=0.10, there is sufficient evidence to conclude a dependent relationship between gender and procedure.
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