Question: We are now examining the relationship between smoking and stroke. We suspect that the relationship between smoking and stroke may be different in older women

We are now examining the relationship between smoking and stroke. We suspect that the relationship between smoking and stroke may be different in older women (>70) compared to younger women (<=70). Examining the table below calculate the Mantel-Haenszel estimate of the RR. Next perform the test for a common relative risk across all strata. What do you conclude from this test? Lastly provide the log of the risk of stroke for smokers and non-smokers in younger and older women. Looking at these four risks what type of interaction is present?

Younger women (<=70) Older women (>70)
smoking Stroke Controls Total Stroke Controls Total
Yes 70 2065 2135 7 48 55
No 50 3459 3509 9 37 46
Total 120 5524 5644 16 85 101

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