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In: Statistics and Probability

Cantor et al. (1988) reported a study of the relationship between the regular use of hair...

Cantor et al. (1988) reported a study of the relationship between the regular use of hair dye and the development of leukemia. The study entailed 577 leukemia patients and 1245 persons free from the disease (controls) who were questioned concerning their use of hair dye. Forty-three patients and 55 controls claimed to have had significant exposure to hair dye.

a. Carry out the chi-square test of significance to test hair dye use (rate) differences between cases and control.

b. Is there evidence of an association between the use of hair dye and the development of leukemia? If so, is the association true beyond chance?

Solutions

Expert Solution

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Use of hair dye Developed leukema Don’t developed leukemia Total
Yes 43 55 98
No 534 1190 1724
Total 577 1245 1822

Below is the contingency table :

Row_1 Col._1 fo (Observed freq.) Expected Freq. (fe) (fo - fe) (fo - fe)^2 (fo - fe)^2/fe
1 1 43 31.03512623 11.9649 143.1582 4.612779827
1 2 55 66.96487377 -11.965 143.1582 2.13781041
2 1 534 545.9648738 -11.965 143.1582 0.262211382
2 2 1190 1178.035126 11.9649 143.1582 0.121522866
Sum 7.134324484

orchestra answered 1 year ago
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