Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 12 - Section 12.2 - Assess Your Understanding - Applying the Concepts - Page 610: 8d

Answer

$X_0^2\gt X_α^2$: null hypothesis is rejected. There is enough evidence to conclude that prenatal care and the wantedness of pregnancy are dependent.

Work Step by Step

$H_0:$ prenatal care and the wantedness of pregnancy are independent. versus $H_1:$ prenatal care and the wantedness of pregnancy are dependent. $X_0^2=21.382$ $r=3$, $c=3$. So, $d.f.=(r−1)(c−1)=4$ $X_α^2=X_{0.05}^2=9.488$ (According to Table VII, for d.f. = 4 and area to the right of critical value = 0.05) Since $X_0^2\gt X_α^2$, we reject the null hypothesis.
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