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: 16a

Answer

$X_0^2=20.598$ with a P-value $\ltα$. Reject the null hypothesis. There is enough evidence to conclude that the proportion of individuals within each political affiliation who react positively to the word capitalism is not the same.

Work Step by Step

$H_0:$ the proportion of individuals within each political affiliation who reacts positively to the word capitalism is the same. versus $H_1:$ the proportion of individuals within each political affiliation who reacts positively to the word capitalism is not the same. In MINITAB, enter the given values: 1-C1 = 235, 1-C2 = 288, 1-C3 = 256 2-C1 = 264, 2-C2 = 266, 2-C3 = 157 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. $X_0^2=20.598$ with a P-value $\lt0.001\ltα=0.05$
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