Problem 8:The Framingham Heart Study was a longitudinal cohort study of 5000+ men and women. One outcome of interest was fasting glucose levels. Glucose levels were categorized into three different categories:

Glucose Levels

-Diabetes (glucose > 126),

-Impaired Fasting Glucose (glucose 100-125),

-Normal Glucose

Several possible risk factors were also recorded:

Risk Factors

-Sex

-Age

-BMI (normal weight, overweight, obese)

-Genetics

To determine if each possible risk factor is related to glucose levels, researchers need to use an appropriate hypothesis test.

a. What test would be used to assess whether the different sexes (male and female) have the same proportions of the different glucose levels?

b. What test would be used to assess whether the different glucose levels have the same mean age?

c. What test would be used to assess whether the different categories of BMI have the same proportions of the different glucose levels?