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The article "Inconsistent Health Perceptions for US Women

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 3E Chapter 6.10

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 3E

The article “Inconsistent Health Perceptions for US Women and Men with Diabetes” (M. McCollum, L. Hansen, et al., Journal of Women’s Health, 2007:1421–1428) presents results of a survey of adults with diabetes. Each respondent was categorized by gender and income level. The numbers in each category (calculated from percentages given in the article) are presented in the following table.

Can you conclude that the proportions in the various income categories differ between men and women?

Step-by-Step Solution:

Problem 3E

The article “Inconsistent Health Perceptions for US Women and Men with Diabetes” (M. McCollum, L. Hansen, et al., Journal of Women’s Health, 2007:1421–1428) presents results of a survey of adults with diabetes. Each respondent was categorized by gender and income level. The numbers in each category (calculated from percentages given in the article) are presented in the following table

Can you conclude that the proportions in the various income categories differ between men and women?

                                                               Step by Step Solution

Step 1 of 2

Given table is

First, let us find the expected values .

Let be the sum of ith row and be the sum of jth column and

It is noted that

Then, by definition, the expected frequencies are

In the following table, the expected values for the given table are described.

Poor

Near Poor

Low Income

Middle Income

High Income

Men

222.0148

100.8758

302.1869

486.7587

491.1638

Women

281.9852

128.1242

383.8131

618.2413

623.8362

Then, the chi square statistics is

Step 2 of 2

Chapter 6.10, Problem 3E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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