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How to quit smoking It鈥檚 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 鈥渟uccess鈥� means that the subject did not smoke for a year following the beginning of the study.

Group Treatment Subjects Successes

1 Nicotine patch 244 40

2 Drug 244 74

3 Patch plus drug 245 87

4 Placebo 160 25

(a) Summarize these data in a two-way table.

(b) Make a graph to compare the success rates for the four treatments. Describe what you see.

(c) Explain in words what the null hypothesis H0: p1 = p2 = p3 = p4 says about subjects鈥� smoking habits.

(d) Find the expected counts if H0 is true, and display them in a two-way table similar to the table of observed counts.

Step by step solution

01

Given : 

The table,

Group Treatment Subjects Successes

1 Nicotine patch 244 40

2 Drug 244 74

3 Patch plus drug 245 87

4 Placebo 160 25

02

Part(a) :

The summary of the data in two way table is as follows:

Group	Success	Failure	Subjects
1	40	204	244
2	74	170	244
3	87	158	245
4	25	135	160
Total	226	667	893

03

Part(b) :

The graph compairing the success rate of different groups are as follows

04

Part(c) : 

In words we can say that the null hypothesis asserts that all the groups have same proportions of smokers.

05

Step(d) :

The expected count is as follows:

Group	Success	Failure
1	61.7514	182.2486
2	61.7514	182.2486
3	62.00448	182.9955
4	40.49272	119.5073

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