Question 3

The Framingham Heart Study is a long-term prospective study of the etiology of cardiovascular disease among a population of free-living individuals in the community of Framingham, Massachusetts. Assume that the participants in this study are representative of a larger source population of adults in the United States with similar characteristics. The datasetframingham.dtais a subset of the data collected for the Framingham Heart Study and includes information on 4434 participants.

1. You wish to investigate whether individuals with prevalent diabetes at the time of their first exam at study enrollment (diabetes1) have the same mean age (age1) as individuals who do not have diabetes at first exam. What hypothesis test would you use?

1. State the null and alternative hypotheses of the two-sided test. Define any notation that you use.

1. Use Stata to perform the hypothesis test. What is the value of the test statistic?

1. What is the probability distribution of the test statistic?

1. What is the p value?

1. If the test is being conducted at the 0.05 level of significance, do you reject the null hypothesis?

1. What do you conclude?