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esearchers conducted a clinical trial to assess whether Treatment X would effectively reduce the risk of a myocardial infarction in patients with significant arterial calcification.

esearchers conducted a clinical trial to assess whether Treatment X would effectively reduce the risk of a myocardial infarction in patients with significant arterial calcification. However, the trial was stopped due to an observed increase in the risk of death for patients assigned to receive Treatment X compared to the placebo treated group. Furthermore, it is well established that older age further increases an individual's risk of a myocardial infarction;therefore, the researchers were interested in determining if the increased risk of death due to Treatment X was only present in the older patients. The table below presents their data.

Age (years)

Total

< 55

> 55

X

Placebo

X

Placebo

X

Placebo

Deaths

8

5

22

16

30

21

Total at Risk

106

120

98

85

204

205

Risk of Death

0.076

0.042

0.224

0.188

0.147

0.102

Risk Difference

0.034

0.036

0.045

Risk Ratio

1.81

1.19

1.44

Evaluate the potential of effect modification by age on the relationship between treatment X and death. What measure of association would you report for this study? Assume that 10% constitutes a meaningful difference to evaluate whether effect modification is present

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