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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 6.10 - Problem 3e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 6.10 - Problem 3e

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# The article "Inconsistent Health Perceptions for US Women

ISBN: 9780073401331 38

## Solution for problem 3E Chapter 6.10

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

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