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: 13a

Answer

$X_0^2=37.198$ with a P-value $\ltα$. Reject the null hypothesis. There is enough evidence to conclude that the proportion of individuals is different for each level of education.

Work Step by Step

$H_0:$ the proportion of individuals is equal for each level of education. versus $H_1:$ the proportion of individuals is different for each level of education. In MINITAB, enter the given values: 1-C1 = 302, 1-C2 = 551, 1-C3 = 29, 1-C4 = 100, 1-C5 = 46 2-C1 = 83, 2-C2 = 200, 2-C3 = 24, 2-C4 = 71, 2-C5 = 31 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 C4 C5 Click OK. $X_0^2=37.198$ with a P-value $\lt0.001\ltα=0.05$
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