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 611: 11a

Answer

$X_0^2=7.803$ with a P-value $\gtα$. Do not reject the null hypothesis. There is not enough evidence to conclude that smoking status and level of education are dependent.

Work Step by Step

$H_0:$ smoking status and level of education are independent. versus $H_1:$ smoking status and level of education are dependent. In MINITAB, enter the given values: 1-C1 = 178, 1-C2 = 88, 1-C3 = 208 2-C1 = 137, 2-C2 = 69, 2-C3 = 143 3-C1 = 44, 3-C2 = 25, 3-C3 = 44 4-C1 = 34, 4-C2 = 33, 4-C3 = 51 Select Stat -> Tables -> Chi-Square Test for Association Select "Summarized data in a two-way table" In columns containing the table enter: C1 C2 C3 Click OK. $X_0^2=7.803$ with a P-value $=0.253\gtα=0.05$
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