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# Hypothesis Testing for Incidence of Heart Attacks

Does lovastatin reduce the risk of heart attack? Researchers gave lovastatin to 2,325 people and an placebo to 2,081 people. the average age of both groups in 58 years. After 5 years, 57 of the lavastatin group had suffered a heart attack, compared to 97 from the placebo group. At a=.01, can we conclude that the lovastatin users had a lower incidence of heart attack?

The hypothiese in this problem can be setup for either a left or right tail test, depending on which population you place on the left and right.

Zc=2.326 or -2.325
Z=3.987
normality justified

State the null and alternative hypothesis.
Select a level of significance.
Identify the test statistic.
Formulate a decision rule.
Make a decision.
Is normality assured? Why or why not?
What else would the researcher need to know before prescribing this drug widely?

#### Solution Preview

Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill. (a) State the appropriate hypotheses. (b) Obtain a test statistic and p-value. Interpret the results at α = .01. (c) Is ...

#### Solution Summary

Hypothesis testing for incidence of heart attacks of users of lovastatin is found.

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