Researchers found 300 current smokers to volunteer for a study in which each was randomly assigned to one of three treatment groups. Group 1 received an electronic cigarette (e-cig) in which each cartridge contained 7.2 mg of nicotine, Gro 2 received an e-cig that contained 5.4 mg of nicotine, and Group 3 received an e-cig that contained no nicotine. The subjects did not know which group they were assigned. During the course of the intervention, subjects dropped out of the stud At the end of the study 72 subjects remained in Group 1, 69 in Group 2, and 56 in Group 3. Results as to whether the subject quit smoking entirely are available below. Complete parts (a) through (g). Click here to view the results of the study. Click here to view the table of critical values of the chi-square distribution, The response variable quit or not quit is qualitative. Study Results (c) To what population do the results of this study apply? * Current smokers Group 1 Group 2 Group 3 D e-Cig Smokers Did Not Quit Quit 53 55 52 19 14 4 Smokers in the study Former smokers Chi-Square Distribution Critical Values Table (d) State the null and alternative hypotheses. O A. Ho: P1 = P2 = P3 H: P1 P2 # P3 B. Ho: P1 =P2 = P3 Chi-Square (x) Distribution Areato the Right of Critical Vahue Degrees of Freedom H: At least one of the proportions is different from the others. 0995 0.99 0975 095 090 0.10 0.05 0.025 0.01 OC. Họ: 0, = E, and O2 = E, and Og = Eg H,: 0, #E, or O2 #E2 or Og #E3 O D. Ho: Quitting and group are independent. 0.010 0072 0.207 0.412 0020 0115 0297 0554 0.001 0.051 0.216 0.484 0.831 0.004 0.103 0.352 0.711 1.145 0.016 0.211 0.584 1.064 1.610 2.706 4.605 6.251 7.779 9.236 3.841 5991 7815 9488 11.070 5.024 7.378 9.348 11.143 12.833 6635 9.210 11345 13.277 15.086 78 10.5 128 14. 16.7 H: Quitting and group are dependent. 0.676 0989 1.344 1.735 0.872 1.239 1.646 2.088 1237 1.690 2.180 2.700 1.635 2.167 2.733 3.325 2.204 2.833 3.490 4.168 10.645 12.017 13.362 14.684 12592 14.067 15.507 16.919 14.449 16.013 17535 19.023 16.812 18.475 20.090 21.666 18.5 202 21.9 235 6. (e) Does the evidence suggest e-cigs are effective in helping individuals abstain from cigarette smoking? Use a = 0.1.
Researchers found 300 current smokers to volunteer for a study in which each was randomly assigned to one of three treatment groups. Group 1 received an electronic cigarette (e-cig) in which each cartridge contained 7.2 mg of nicotine, Gro 2 received an e-cig that contained 5.4 mg of nicotine, and Group 3 received an e-cig that contained no nicotine. The subjects did not know which group they were assigned. During the course of the intervention, subjects dropped out of the stud At the end of the study 72 subjects remained in Group 1, 69 in Group 2, and 56 in Group 3. Results as to whether the subject quit smoking entirely are available below. Complete parts (a) through (g). Click here to view the results of the study. Click here to view the table of critical values of the chi-square distribution, The response variable quit or not quit is qualitative. Study Results (c) To what population do the results of this study apply? * Current smokers Group 1 Group 2 Group 3 D e-Cig Smokers Did Not Quit Quit 53 55 52 19 14 4 Smokers in the study Former smokers Chi-Square Distribution Critical Values Table (d) State the null and alternative hypotheses. O A. Ho: P1 = P2 = P3 H: P1 P2 # P3 B. Ho: P1 =P2 = P3 Chi-Square (x) Distribution Areato the Right of Critical Vahue Degrees of Freedom H: At least one of the proportions is different from the others. 0995 0.99 0975 095 090 0.10 0.05 0.025 0.01 OC. Họ: 0, = E, and O2 = E, and Og = Eg H,: 0, #E, or O2 #E2 or Og #E3 O D. Ho: Quitting and group are independent. 0.010 0072 0.207 0.412 0020 0115 0297 0554 0.001 0.051 0.216 0.484 0.831 0.004 0.103 0.352 0.711 1.145 0.016 0.211 0.584 1.064 1.610 2.706 4.605 6.251 7.779 9.236 3.841 5991 7815 9488 11.070 5.024 7.378 9.348 11.143 12.833 6635 9.210 11345 13.277 15.086 78 10.5 128 14. 16.7 H: Quitting and group are dependent. 0.676 0989 1.344 1.735 0.872 1.239 1.646 2.088 1237 1.690 2.180 2.700 1.635 2.167 2.733 3.325 2.204 2.833 3.490 4.168 10.645 12.017 13.362 14.684 12592 14.067 15.507 16.919 14.449 16.013 17535 19.023 16.812 18.475 20.090 21.666 18.5 202 21.9 235 6. (e) Does the evidence suggest e-cigs are effective in helping individuals abstain from cigarette smoking? Use a = 0.1.
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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Transcribed Image Text:Researchers found 300 current smokers to volunteer for a study in which each was randomly assigned to one of three treatment groups. Group 1 received an electronic cigarette (e-cig) in which each cartridge contained 7.2 mg of nicotine, Group
2 received an e-cig that contained 5.4 mg of nicotine, and Group 3 received an e-cig that contained no nicotine. The subjects did not know which group they were assigned. During the course of the intervention, subjects dropped out of the study.
At the end of the study 72 subjects remained in Group 1, 69 in Group 2, and 56 in Group 3. Results as to whether the subject quit smoking entirely are available below. Complete parts (a) through (g).
Click here to view the results of the study.
Click here to view the table of critical values of the chi-square distribution.
The response variable quit or not quit is qualitative.
Study Results
(c) To what population do the results of this study apply?
Current smokers
Group 1 Group 2 Group 3
e-Cig Smokers
Did Not Quit
53
55
52
Quit
19
14
4
Smokers in the study
Former smokers
i
Chi-Square Distribution Critical Values Table
(d) State the null and alternative hypotheses.
A. Ho: P1 = P2 = P3
H1: P1 #P2 # P3
B. Ho: P1 = P2 = P3
Chi-Square (x) Distribution
Areato the Right of Critical Vahue
Degrees of
Freedom
H1: At least one of the proportions is different from the others.
0.995
0.99
0975
095
0.90
010
0.05
0.025
0.01
0.005
C. Ho: O1 = E, and O2 = E2 and O3 = E3
6.635
9.210
11.345
0.016
2.706
5.024
7.378
9.348
7879
10.597
1
0.001
0.061
0.216
0.484
0.004
3.841
4.605
6.251
7.779
9.236
0.010
0.072
0.103
0.352
0.711
1.145
Hy:O, #E, or O2 # E2 or O3 # E3
0020
0115
5991
7815
2
0.211
0.584
1.064
1.610
12.838
14.860
16.750
3
0.207
0297
9.488
11.143
13.277
O D. Ho: Quitting and group are independent.
0.412
న54
0.831
11.070
12.833
15.086
H: Quitting and group are dependent.
1.635
2.167
12592
14.067
15.507
16.919
16.812
18.475
0.676
1.237
1.690
6.
0.872
2.204
10.645
14.449
18.548
16.013
17535
19.023
7
0.989
1.239
2.833
12.017
20278
21.955
23589
25188
1.646
3.490
4.168
4.865
13.362
14.684
15.987
8
1.344
1.735
2.156
2.180
2.733
20.090
(e) Does the evidence suggest e-cigs are effective in helping individuals abstain from cigarette smoking? Use a = 0.1.
2.088
2.700
3.325
21.666
10
2.558
3.247
3.940
18.307
20.483
23 209
Compute the value of the chi-square test statistic.
3.063
3.571
4.107
4.575
5.226
5.892
6.571
7.261
26.757
28.300
2.603
3.074
నర5
4.075
4.601
3.816
4.404
5.009
5.629
6.262
5.578
6.304
17275
18.549
19.812
19.675
21.026
22.362
23.685
24.996
24.725
26 217
27688
11
21.920
12
13
23.337
24.736
26.119
(Round to two decimal places as needed.)
7042
29.819
21.064
4.660
5.229
7.790
8.547
14
29.141
31.319
15
22.307
27.488
30578
32.801
5.812
6.408
6.908
7564
28.845
5142
5.697
7962
8.672
23.542
24.769
26.296
27587
34.267
35.718
Enter your answer in the answer box and then click Check Answer.
16
9.312
32.000
17
10.085
30.191
33.409
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