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The Table below provides the relationship between breast-cancer incidence rate a

ID: 3222910 • Letter: T

Question

The Table below provides the relationship between breast-cancer incidence rate and menopausal status by age, based on NHS data from 1976 to 1990.

                                                Premenopausal                      Postmenopausal

Age                                         Cases/person-years             Cases/person-years

                                                (incidence rate per 100    (same)

person years)            

35-39                                       124/131,704 (94)                  15/14,795 (101)

40-44                                       264/179,132 (147)                47/43,583 (108)          

45-49                                       304/151,548 (201)                163/90,965 (179)

50-54                                       159/61,215 (260)                401/184,597 (217)

55-59                                       25/6133 (408) 490/180,458 (272)

Assess whether there is a difference between the incidence rate of breast cancer for premenopausal vs. postmenopausal women, while controlling for age. Report a p-value.

Explanation / Answer

H0 : There is no difference between the incidence rate of breast cancer ofr premenopausal VS postmenopausal women

H1:  There is difference between the incidence rate of breast cancer ofr premenopausal VS postmenopausal women

The expected frequencies are

The chisquare contribution values are

Degrees of freedom: 4

Test Statistic, X^2: 11.4007
Critical X^2: 9.48772
P-Value: 0.0224

Here p-value < alpha 0.05, so we reject H0

Thus we conclude that There is difference between the incidence rate of breast cancer ofr premenopausal VS postmenopausal women

i.e. there is association between premenopausal and postmenopausal women

0 Premenopausal Postmenopausal Total 35-39 108.933 86.067 195 40-44 142.451 112.549 255 45-49 212.28 167.72 380 50-54 266.467 210.53 476.997 55-59 379.869 300.13 679.999 Total 1110 877 1987
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