Question 1179002: A medical research team conducted a study to test the effect of a cholesterol-reducing medication. At the end of the study, the researchers found that of the 5100 randomly selected subjects who took the medication, 237 died of heart disease. Of the 4900 randomly selected subjects who took a placebo, 200 died of heart disease. At α=0.01, can you support the claim that the death rate due to heart disease is higher for those who took the medication than for those who took the placebo?
Conditions:
Significant:
Hypothesis:
Conclusion:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! p1=237/5100=0.04647
p=200/4900=0.04081
p* (combined) is 437/10000=0.0437
two sample proportion test with large enough np and n(1-p)
Ho: p1 < = p2
Ha: p1 > p2
alpha=0.01 p{reject Ho|Ho true}
test is z, reject if z>2.33
z=(p1-p2)/sqrt (.0437*0.9563((1/5100)+(1/4900)); second part is 0.00409
z=0.00566/0.00409=1.38
Fail to reject Ho, and insufficient evidence to support claim there is an increase.
p-value=0.083
|
|
|
