Question 175836: 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 Is the difference large enough to be important? (e) What else would medical researchers 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(lov)-p(no lov) = 0
Ha: p(lov)-p(no lov) < 0
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(b) Obtain a test statistic and p-value. Interpret the results at α = .01.
Using a 2-Prop Z Test on a TI calculator:
T.S. z((57/2325)-(97/2081)) = -3.9868
p-value: 0.0000335
Interp: Less than 0.003% of test results would have provided stronger
evidence for failing to Reject Ho.
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(c) Is normality assured?
Check your conditions
(d) Is the difference large enough to be important?
Yes
(e) What else would medical researchers need to know before Is the difference large enough to be important?
I'll leave that to you.
Cheers,
Stan H.
(f) What else would medical researchers need to know before prescribing this drug widely?
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