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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Is there a relationship between treatment and smoking cessation? A study randomly selects a group of
1,025 smokers who are attempting to quit. One group of 352 is using Chantix, one group of 329 is using
Bupropion, and one group of 344 is using a placebo. The success of the treatment is measured on whether
or not participants smoked in weeks 9-12 of the treatment (this is a yes or no variable).
Treatment
Chantix
Bupropion
Placebo
No smoking in weeks 9-12
155
97
61
Smoked in weeks 9-12
197
232
283
Total
352
329
344
Treatment
Chantix
Bupropion
Placebo
No smoking in weeks 9-12
Smoked in weeks 9-12
Total
100%
100%
100%
Set up the null and alternative hypothesis for a Chi-Square test of the relationship between
treatment and smoking cessation
а.
Use the observed vs expected counts tables below to calculate the Chi-Square value (use the table
and formula below). I have done the first cell for you. Repeat for the next five and then solve for X2.
b.
X2 = [(155-107)2 / 107] +

Finally, use the Chi-Square table (pasted below) to find the critical value when DF= (r-1) * (c-1)
and alpha = .05. Compare this to the critical value and determine whether or not we can reject the null
с.
hypothesis.
Treatment (OBSERVED)
Chantix
Bupropion
Placebo
Total
No smoking in weeks 9-12
155
97
61
313 (31%)
Smoked in weeks 9-12
197
232
283
712 (69%)
Total
352
329
344
1025 (100%)
Treatment (EXPECTED)
Chantix
Bupropion
Placebo
Total
No smoking in weeks 9-12
107
101
105
313 (31%)
Smoked in weeks 9-12
245
228
239
712 (69%)
1025 (100%)
Total
352
329
344

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