Question 204459: 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 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.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
Ho: p(placebo)-P(lova) = 0
Ha: p(placebo)-p(lova) > 0
(b) Obtain a test statistic and p-value. Interpret
the results at α = .01
I ran a two-proportion z-test and got the following.
Test statistic: z = 3.987
p-value: 0.00003348....
Conclusion: Since the p-value is less than 1% reject Ho.
Less than 0.003348% of test results could have provided stronger
proof for rejecting Ho.
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(c) Is normality assured?
I'll leave that to you.
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(d) Is the difference large enough to be important?
Yes it is very large as seen in the very small p-value.
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(e) What else would medical researchers need to know before prescribing this drug widely?
I'll leave that to you.
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Cheers,
Stan H.
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