Suppose a manager implementing a smoke-free workplace policy is interested in th
ID: 3266404 • Letter: S
Question
Suppose a manager implementing a smoke-free workplace policy is interested in the relationship between smoking and the incidence of on-the-job accidents. Since the company has complete reports of on-the-job accidents, the manager draws a sample of the names of workers who were involved in accidents during the last year. A similar sample was drawn from a list of workers who had no reported accidents in the last year. The manager surveys the sampled members of both groups to determine if they are smokers or not. The results are shown in the contingency table below. Use a technique learned in class to analyze the data in the table below and to answer the questions below. Round all numerical answers to 2 decimal places. If your final answer is within .05 of the correct answer, and your answer is marked incorrect, please email me to let me know the specific question and question part this happened on so I can correct it. Smoker On-the-Job Accident Yes No Heavy 12 4 Moderate 9 6 Nonsmoker 13 22 Step 1 of 5: What is the expected number of heavy smokers who HAVE had an accident on the job? Round answers to 2 decimal places.
Explanation / Answer
Answer:
Suppose a manager implementing a smoke-free workplace policy is interested in the relationship between smoking and the incidence of on-the-job accidents. Since the company has complete reports of on-the-job accidents, the manager draws a sample of the names of workers who were involved in accidents during the last year. A similar sample was drawn from a list of workers who had no reported accidents in the last year. The manager surveys the sampled members of both groups to determine if they are smokers or not. The results are shown in the contingency table below. Use a technique learned in class to analyze the data in the table below and to answer the questions below. Round all numerical answers to 2 decimal places. If your final answer is within .05 of the correct answer, and your answer is marked incorrect, please email me to let me know the specific question and question part this happened on so I can correct it.
Smoker On-the-Job Accident Yes No
Heavy 12 4
Moderate 9 6
Nonsmoker 13 22
Step 1 of 5: What is the expected number of heavy smokers who HAVE had an accident on the job? Round answers to 2 decimal places.
8.24
We conclude that there is significant relationship between smoking and the incidence of on-the-job accidents.
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Yes
No
Total
fo-fe
Heavy
12
4
16
3.7576
-3.7576
Moderate
9
6
15
1.2727
-1.2727
Nonsmoker
13
22
35
-5.0303
5.0303
Total
34
32
66
Expected Frequencies
Column variable
Yes
No
Total
(fo-fe)^2/fe
Heavy
8.24
7.76
16
1.7130
1.8201
Moderate
7.73
7.27
15
0.2096
0.2227
Nonsmoker
18.03
16.97
35
1.4034
1.4911
Total
34
32
66
Data
Level of Significance
0.05
Number of Rows
3
Number of Columns
2
Degrees of Freedom
2
Results
Critical Value
5.9915
Chi-Square Test Statistic
6.8600
p-Value
0.0324
Reject the null hypothesis
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Yes
No
Total
fo-fe
Heavy
12
4
16
3.7576
-3.7576
Moderate
9
6
15
1.2727
-1.2727
Nonsmoker
13
22
35
-5.0303
5.0303
Total
34
32
66
Expected Frequencies
Column variable
Yes
No
Total
(fo-fe)^2/fe
Heavy
8.24
7.76
16
1.7130
1.8201
Moderate
7.73
7.27
15
0.2096
0.2227
Nonsmoker
18.03
16.97
35
1.4034
1.4911
Total
34
32
66
Data
Level of Significance
0.05
Number of Rows
3
Number of Columns
2
Degrees of Freedom
2
Results
Critical Value
5.9915
Chi-Square Test Statistic
6.8600
p-Value
0.0324
Reject the null hypothesis
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