(d) State the null and alternative hypotheses. O A. Ho: P₁ P2 = P3 H₁: At least one of the proportions is different from the others. B. Ho: Quitting and group are independent. H₁: Quitting and group are dependent. O C. Ho: 0₁=E₁ and O₂ = E₂ and O3 = E3 H₁:0₁ #E₁ or 0₂ # E2 or 03 #E3 O D. Ho: P₁ P2 = P3 H₁: P₁ P2 P3 (e) Does the evidence suggest e-cigs are effective in helping individuals abstain from cig Compute the value of the chi-square test statistic. x² = = (Round to two decimal places as needed.) What is the P-value for the test statistic? The P-value is

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Researchers found 400 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 82 subjects remained in Group 1, 77 in Group 2, and 69 in Group 3.
Results as to whether the subject quit smoking entirely are available below. Complete parts (a) through (g).
Click here to see the results of the study.
(a) What type of experimental design was used in this study?
Smokers in the study
Former smokers
Current smokers
e-Cig Smokers
V
is
Screen Shot 202...
i Q
Group 1 Group
65
12
A. This is an observational study, not a designed experiment.
B. A completely randomized design with two levels of treatment
C. A matched-pairs design with two levels of treatment
D. A completely randomized design with three levels of treatment
(b) Researchers wanted to know whether electronic cigarettes may be used to help individuals abstain from cigarette smoking. What is the response variable? Is it qualitative or quantitative?
The response variable
(c) To what population do the results of this study apply?
Did Not Quit 67
15
Quit
Group 3
63
6
Transcribed Image Text:Researchers found 400 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 82 subjects remained in Group 1, 77 in Group 2, and 69 in Group 3. Results as to whether the subject quit smoking entirely are available below. Complete parts (a) through (g). Click here to see the results of the study. (a) What type of experimental design was used in this study? Smokers in the study Former smokers Current smokers e-Cig Smokers V is Screen Shot 202... i Q Group 1 Group 65 12 A. This is an observational study, not a designed experiment. B. A completely randomized design with two levels of treatment C. A matched-pairs design with two levels of treatment D. A completely randomized design with three levels of treatment (b) Researchers wanted to know whether electronic cigarettes may be used to help individuals abstain from cigarette smoking. What is the response variable? Is it qualitative or quantitative? The response variable (c) To what population do the results of this study apply? Did Not Quit 67 15 Quit Group 3 63 6
(d) State the null and alternative hypotheses.
O A. Ho: P₁ = P2 = P3
H₁: At least one of the proportions is different from the others.
O B. Ho: Quitting and group are independent.
H₁: Quitting and group are dependent.
O C. Ho: O₁ = E₁ and O₂ = E₂ and O3 = E3
H₁:0₁ # E₁ or 02 # E2 or 03 #E3
O D. Ho: P₁
P2 = P3
H₁: P₁ P₂ P3
(e) Does the evidence suggest e-cigs are effective in helping individuals abstain from cigarette smoking? Use α = 0.1.
Compute the value of the chi-square test statistic.
x² =
(Round to two decimal places as needed.)
What is the P-value for the test statistic?
The P-value is
(Round to three decimal places as needed.)
Transcribed Image Text:(d) State the null and alternative hypotheses. O A. Ho: P₁ = P2 = P3 H₁: At least one of the proportions is different from the others. O B. Ho: Quitting and group are independent. H₁: Quitting and group are dependent. O C. Ho: O₁ = E₁ and O₂ = E₂ and O3 = E3 H₁:0₁ # E₁ or 02 # E2 or 03 #E3 O D. Ho: P₁ P2 = P3 H₁: P₁ P₂ P3 (e) Does the evidence suggest e-cigs are effective in helping individuals abstain from cigarette smoking? Use α = 0.1. Compute the value of the chi-square test statistic. x² = (Round to two decimal places as needed.) What is the P-value for the test statistic? The P-value is (Round to three decimal places as needed.)
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Follow-up Question
Which bar graph shows the conditional distribution?
O A.
O
Relative Frequency
There
Frequency
1.0
0.8-
0.6-
0.4-
0.2-
0.0-
100-
80-
60-
40-
20-
Efficacy of e-Cigs
■ Did Not Quit
■Quit
ELL
Group 2
Group 1
Efficacy of e-Cigs
Did Not Quit
■Quit
Group 3
LLL
Group 2 Group 3
Group 1
The graph suggests that the proportion of the smokers who quit tend to
(g) Write a conclusion for this hypothesis test.
sufficient evidence to conclude that
O
B.
D.
Frequency
Relative Frequency
100-
80-
60-
40-
20-
1.0-
0.8-
0.6-
0.4-
0.2-
0.0-
from group 1 to group 3.
Efficacy of e-Cigs
Did Not Quit
Efficacy of e-Cigs
Did Not Quit
■ Group 1
■ Group 2
Group 3
Quit
■ Group 1
■ Group 2
Group 3
Quit
N
Transcribed Image Text:Which bar graph shows the conditional distribution? O A. O Relative Frequency There Frequency 1.0 0.8- 0.6- 0.4- 0.2- 0.0- 100- 80- 60- 40- 20- Efficacy of e-Cigs ■ Did Not Quit ■Quit ELL Group 2 Group 1 Efficacy of e-Cigs Did Not Quit ■Quit Group 3 LLL Group 2 Group 3 Group 1 The graph suggests that the proportion of the smokers who quit tend to (g) Write a conclusion for this hypothesis test. sufficient evidence to conclude that O B. D. Frequency Relative Frequency 100- 80- 60- 40- 20- 1.0- 0.8- 0.6- 0.4- 0.2- 0.0- from group 1 to group 3. Efficacy of e-Cigs Did Not Quit Efficacy of e-Cigs Did Not Quit ■ Group 1 ■ Group 2 Group 3 Quit ■ Group 1 ■ Group 2 Group 3 Quit N
Does the evidence suggest e-cigs are effective?
A. The P-value is greater than a, so reject Ho. There is sufficient evidence that the proportions are different.
B. The P-value is greater than a, so do not reject Ho. There is not sufficient evidence that the proportions are different.
O C. The P-value is less than α, so reject Ho. There is not sufficient evidence that the proportions are different.
D. The P-value is less than α, so do not reject Ho. There is sufficient evidence that the proportions are different.
Transcribed Image Text:Does the evidence suggest e-cigs are effective? A. The P-value is greater than a, so reject Ho. There is sufficient evidence that the proportions are different. B. The P-value is greater than a, so do not reject Ho. There is not sufficient evidence that the proportions are different. O C. The P-value is less than α, so reject Ho. There is not sufficient evidence that the proportions are different. D. The P-value is less than α, so do not reject Ho. There is sufficient evidence that the proportions are different.
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