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    Hypothesis Testing on Effects of Lovastatin (Cholesterol-Lowering Drug)

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    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 patients had heart attacks and 97 of those taking the inactive pill had heart attacks.

    (a) State the appropriate hypotheses.

    (b) Obtain a test statistic and p-value. Interpret the results at α = .01.

    (c) Among the Lovastatin and inactive groups, is normality assured?

    (d) Is the difference large enough to be important? (e) What else would medical researchers need to know before prescribing this drug widely? (Data are from Science News 153 [May 30, 1998], p. 343.)

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    Solution Summary

    This solution conducts a statistical analysis on the effects of Lovastatin by providing the null and alternative hypothesis, calculating the test statistic, comparing the value to the p-value and finally making a decision on accepting or rejecting the null hypothesis.