The following data summarizes the incidence of Coronary Heart Disease (CHD) for

Question

The following data summarizes the incidence of Coronary Heart Disease (CHD) for people who smoked regularly and for people who did not smoke regularly Estimate the relative risk of CHD for those who smoked compared to those who did not smoke Calculate a 90% Wald confidence interval for your estimate in (a) Interpret your confidence interval in terms of the problem. What is the baseline risk of CHD based on this sample? Given that information, do you believe smoking increases your risk of CHD on a practical level?

Explanation / Answer

a) Total CHD = 3000

psmoked = 84/3000 = 0.028

pdid not smoke = 2916/3000 = 0.972

relative risk = 0.028/0.972 = 0.0288

b) p = 0.0288

SE = p*(1-p)/n

= 0.0288(1-0.0288)/3000 = 0.00305

CI = [p ± z*SE] = [0.0288 ± 1.645*0.00305] = [0.0237, 0.03383]

c) We are 90% that the relative risk of CHD for those who smoked compared to those who did not smoke will lie in the given Confidence Interval.

d) Baseline Risk = 84/3000 = 0.028

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