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?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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  1. 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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