It’s hard for smokers to quit. Perhaps prescribing a drug to fight depression will work as well as the usual nicotine patch. Perhaps combining the patch and the drug will work better than either treatment alone. Here are data from a randomized, double-blind trial that compared four treatments. A “success” means that the subject did not smoke for a year following the beginning of the study. Treatment Subjects Successes Nicotine Patch 244 40 Drug 244 74 Patch plus Drug 245 87 Placebo 160 25 A. Summarize the data in a two-way table Successes Failures Nicotine Patch Drug Patch plus Drug Placebo B. Calculate the proportion of subjects who refrain from smoking in each of the four groups. C. Explain in words what the null hypothesis Ho: p1=p2=p3=p4 says about subjects’ smoking habits. D. Give the alternative hypothesis. E. Find the expected counts if Ho is true and display them in a two way table. F. Find the 8 contributors to and then add them together to get G. What term contributes the most to H. Find the p-value of the test. I. Give the result of the test at . J. What conclusion would you draw from the test?
- It’s hard for smokers to quit. Perhaps prescribing a drug to fight depression will work as well as the usual nicotine patch. Perhaps combining the patch and the drug will work better than either treatment alone. Here are data from a randomized, double-blind trial that compared four treatments. A “success” means that the subject did not smoke for a year following the beginning of the study.
Treatment |
Subjects |
Successes |
Nicotine Patch |
244 |
40 |
Drug |
244 |
74 |
Patch plus Drug |
245 |
87 |
Placebo |
160 |
25 |
A. Summarize the data in a two-way table
|
Successes |
Failures |
Nicotine Patch |
|
|
Drug |
|
|
Patch plus Drug |
|
|
Placebo |
|
|
B. Calculate the proportion of subjects who refrain from smoking in each of the four groups.
C. Explain in words what the null hypothesis Ho: p1=p2=p3=p4 says about subjects’ smoking habits.
D. Give the alternative hypothesis.
E. Find the expected counts if Ho is true and display them in a two way table.
F. Find the 8 contributors to and then add them together to get
G. What term contributes the most to
H. Find the p-value of the test.
I. Give the result of the test at .
J. What conclusion would you draw from the test?
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