In the book Business Research Methods (5th ed.), Donald R. Cooper and C. William

Question

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 23 12 31 Smoker Yes 15 Moderate Nonsmoker Column total 13 34 18 32 Expected counts are below observed counts Accident No Accident Total 23 12 31 15 11.85 11.15 Moderate Nonsmoker Total 6.18 13 15.97 34 5.82 18 15.03 32 Chi-Sq 2.88, DF 2, P-Value = 0.237

Explanation / Answer

a)

    

c) since p-value = 0.237 > 0.01 (alpha )

we fail to reject the null hypothesis

r1 r2 r3 sum c1 15 6 13 34 c2 8 6 18 32 sum 23 12 31 66 Eij 1 2 3 1 11.84848 6.181818 15.9697 2 11.15152 5.818182 15.0303 0i 15 6 13 8 6 18 Ei 11.84848 6.181818 15.9697 11.15152 5.818182 15.0303 sum (Oi-Ei)^2/Ei 0.838255 0.005348 0.55224 0.890646 0.005682 0.586755 2.878924

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