Dear Students,
Please read module 4, Hypothesis Testing for Categorical and Ordinal Outcomes. Also, read your textbook chapter 7, section 7.4. You have to read carefully to understand all the information in the section. Look at the examples. Once you feel sure you understood the examples and the procedures of hypothesis testing, then do the following assignment.
If you will have any questions, please let me know in advance.
Thank you.
Assignment:
Obesity is defined as having body mass index (BMI) of 30 or higher. There are 3 categories of obesity; Category 1 = BMI 30 to less than 35; Category 2 = BMI 35 to less than 40; and Category 3 = BMI 30 or more.
The National Center for Health Statistics reports that the prevalence of different categories of obesity are: Category 1: 60%, category 2: 30%, and category 3: 10%. A health education and nutrition program was launched for 5 years to mitigate the issue of obesity. A survey was conducted to see the impact of the program. The survey reports the following data:
Table: Distribution of obesity by category
Obesity Category 1Obesity Category 2Obesity Category 3Total sample4503981521000
Based on the sample data, is there a evidence of a shift in the distribution of undernutrition after the health and nutrition mitigation program? Test the hypothesis.
Instructions:
Test the hypothesis following all the steps:
1. Set up hypothesis and determine the level of significance at α = 0.05;
2. Select the appropriate test statistic;
3. Set up the decision rule;
4. Compute the test statistic; and
5. Conclusion