Chi Square Test of Indep .> C | ezto.mheducation.com/hm.tpx 10.00 points In the
ID: 3061614 • Letter: C
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Chi Square Test of Indep .> C | ezto.mheducation.com/hm.tpx 10.00 points In the book Business Research Methods (5th ed.). Donald R. Cooper and C. William Emory discuss studying the relationship between on-the-job accidents and smoking. Cooper and Emory describe the study as follows: Suppose a manager implementing a smoke-free workplace policy is interested in whether smoking affects worker accidents. Since the company has complete reports of on-the-job accidents, she draws a sample of names of workers who were involved in accidents during the last year. A similar sample from among workers who had no reported accidents in the last year is drawn. She interviews members of both groups to determine if they are smokers or not. The sample results are given in the following table. On-the-Job Accident No Row Total 13 21 Moderate Nonsmoker Column total 16 34 31 32 Expected counts are below observed counts Total 21 Accident No Accident 10.82 10.18 Moderate Nonsmoker Total 7.21 16 15.97 34 6.79 15 15.03 32 31 Chi-Sq = 2.31. DF = 2, P-Value = 0.315 (a) For each row and column total in the above table, find the corresponding row/column percentage. (Round your answers to 2 decimal places.) 811 PM O Type here to search 313/2018Explanation / Answer
Solution:
a. Row 1 = 21/66 = 31.82%
Row 2 = 14/66 = 21.21%
Row 3 = 31/66 = 46.97%
Column1 = 34/66 = 51.52%
Column 2 = 32/66 = 48.48%
b.
Accident
No Accident
Heavy Cell
13/66 = 19.70%
8/66 = 12.12%
Row
13/21 = 61.90%
8/21 = 38.10%
Column
13/34 = 38.24%
8/32 = 25%
Moderate Cell
5/66 =7.58%
9/66 =13.64%
Row
5/14 =35.71%
9/14 = 64.29%
Column
5/34 =44.12%
9/32 = 28.13%
Nonsmoker Cell
16/66 =24.24%
15/66 =22.73%
Row
16/31 =51.61%
15/31 =48.39%
Column
16/34 =47.06%
15/32 = 46.88%
c. ^2 = 2.31, P-value = 0.315
Cannot reject Ho at a = 0.01 level.
d. There is no difference between smokers and nonsmokers at the .01 level.
Accident
No Accident
Heavy Cell
13/66 = 19.70%
8/66 = 12.12%
Row
13/21 = 61.90%
8/21 = 38.10%
Column
13/34 = 38.24%
8/32 = 25%
Moderate Cell
5/66 =7.58%
9/66 =13.64%
Row
5/14 =35.71%
9/14 = 64.29%
Column
5/34 =44.12%
9/32 = 28.13%
Nonsmoker Cell
16/66 =24.24%
15/66 =22.73%
Row
16/31 =51.61%
15/31 =48.39%
Column
16/34 =47.06%
15/32 = 46.88%
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