In: Statistics and Probability
Subjects with pre-existing cardiovascular symptoms who were
receiving subitramine, an appetite suppressant, were found to be at
increased risk of cardiovascular events while taking the drug. The
study included 9807 overweight or obese subjects with pre-existing
cardiovascular disease and/or type 2 diabetes. The subjects were
randomly assigned to subitramine (4909 subjects) or a placebo (4898
subjects) in a double-blind fashion. The primary outcome measured
was the occurrence of any of the following events: nonfatal
myocardial infarction or stroke, resuscitation after cardiac
arrest, or cardiovascular death. The primary outcome was observed
in 562 subjects in the subitramine group and 493 subjects in the
placebo group.
Do the data give good reason to think that there is a difference
between the proportions of treatment and placebo subjects who
experienced the primary outcome? (Note that sibutramine has not
been available in the United States since the end of 2010 due to
its manufacturer's concerns over increased risk of heart attack or
stroke, although at the present time it can still be purchased in
other countries.)
State hypotheses, find the test statistic, and the
P-value. (Round your test statistic to two decimal places
and your P-value to four decimal places.)