Question 315529: 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 substantive to 2,081 people ( average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compare with 97 for the inactive pill. (a) Sate the appropriate hypotheses. (b) Obtain in a test statistic and p-value. Interpret the results at a =.01 (c) is normality assured? (d) is the difference large enough to be important? (e) What else would medical researches need to know before prescribing this drug widely?
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
evidence 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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