SOLUTION: Please provide some assistance in solving and understanding this statistics problem. Thanks in advance for your help! Does lovastatin (a cholesterol-lowering drug) reduce the ris

Question 126171This question is from textbook Applied Statistics in Business and Economics
: Please provide some assistance in solving and understanding this statistics problem. Thanks in advance for your help!
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 a .01 level of significance. (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? This question is from textbook Applied Statistics in Business and Economics

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(medicated) > 0
Ha: p(placebo)-p(medicated) <=0
----------------------
x(placebo)=97 ; n(placebo)=2081 ; p-hat(placebo) = 0.0466
x(medicated)=57 ; n(medicated)=2325 ; p-hat(medicated) = 0.0245
Critical value for alph=0.01 = 2.326
Test statistic: z=3.9868
p-value = 3.34*10^-5

(b) Obtain a test statistic and p-value. Interpret the results at a .01 level of significance.
Reject Ho.
----------------
(c) Is normality assured?
Check n1p1>5 and n2p2>5
---------------------
(d) Is the difference large enough to be important?
Yes, the low p-value shows the evidence is very strong that the
medicine is effective.
------------------------
(e) What else would medical researchers need to know before prescribing this drug widely?
I'll leave that to you.
=====================
Cheers,
Stan H.

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