QUESTION IMAGE
Question
question 2
calculate the relative risk for the below table: and round to 2 decimal points.
| disease yes | disease no | totals | |
|---|---|---|---|
| exposure no | 26 | 40 | 66 |
| 40 | 60 | 100 |
add your answer
integer, decimal, or e notation allowed
Step1: Define the formula for relative risk
Relative Risk (RR) = $\frac{a/(a + b)}{c/(c + d)}$, where $a$ is the number of exposed - diseased, $b$ is the number of exposed - non - diseased, $c$ is the number of non - exposed - diseased, and $d$ is the number of non - exposed - non - diseased. Here, $a = 14$, $b = 20$, $c = 26$, $d = 40$.
Step2: Calculate the numerator
The probability of disease in the exposed group is $\frac{a}{a + b}=\frac{14}{14 + 20}=\frac{14}{34}\approx0.4118$.
Step3: Calculate the denominator
The probability of disease in the non - exposed group is $\frac{c}{c + d}=\frac{26}{26+40}=\frac{26}{66}\approx0.3939$.
Step4: Calculate the relative risk
RR = $\frac{\frac{14}{34}}{\frac{26}{66}}=\frac{14\times66}{34\times26}=\frac{924}{884}\approx1.04$.
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1.04