case control study

i want to do a study
i have with me serum cholesterol levels of patients with intracerebral hemorhage and infarcts
other studies some say low cholesterol is more often seen with hemorrhage while high cholesterol is seen with infarct
what type of study should i do can i do case control study
what should be the control infarct or people without infarct,but with risk factors like hypertension and diabetes
please advise
thanking you