The article "Inconsistent Health Perceptions for US Women

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.

Then, the chi square statistics is