Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 4 - Section 4.4 - Assess Your Understanding - Vocabulary and Skill Building - Page 242: 2

Answer

There is a difference between the conditional distributions of educational level and employment status because the denominator that is used to calculate the conditional distribution in both cases will differ.

Work Step by Step

Consider the distribution of educational level by employment status. In the provided table, associations become clear. With an increase in the amount of employment (explanatory variable), the proportion of “high school graduates” as well as that of “did not finish high school level” increases but the proportion of “bachelor’s degree or higher” decreases. Hence, it can be concluded that the educational level will change in a construction of conditional distribution of educational level. Similarly, employment status will change in the construction of conditional distribution.
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