Question

Treatment with statins can reduce the risk of a major cardiovascular event in people with specified risk factors. During about 2 years of follow-up in the JUPITER trial, 142 of 8901 subjects treated with a statin had a major cardiovascular event.

Suppose the expected 2-year risk of a major cardiovascular event in similar but untreated people is 0.028. Test whether the 2-year risk in those treated with a statin is significantly different from this expected risk at the 5% level. Make sure to state your null and alternative hypotheses and specify your conclusion.

Answer 1

given data and some necessary calculations:-

sample size (n) = 8901

sample proportion () = 142/8901 =0.01595

hypothesis:-

test statistic be:-

p value :-

=2* P(Z<-6.89)

= 0.0000 [ using standard normal table]

decision:-

p value = 0.0000 <0.05 (alpha)

so, we reject the null hypothesis.

conclusion:-

there is sufficient evidence to claim that the 2-year risk in those treated with a statin is significantly different from this expected risk at the 5% level.

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