Question

Someone has conducted a study to see if there is increased risk of getting lung cancer if you work in a coal mine. In group 1, 30 of the 150 coal miners got lung cancer. In group 2, 5 out of the 250 non- coal miners got lung cancer. What is the sample relative risk?
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Answer 1

Answer:

Sample relative risk is 10.    

Step-by-step explanation:

We are given the following in the question:

Group 1 of coal miners: 30 out of 150 get lung cancer.

$\text{P(Lung cancer for coal miner)} = \dfrac{30}{150} = \dfrac{1}{5}$

Group 2 of non-coal miners: 5 out of 250 get lung cancer

$\text{P(Lung cancer for non-coal miner)} = \dfrac{5}{250} = \dfrac{1}{50}$

Sample relative risk:

• It is the ratio of probability of an outcome in an exposed group to the probability of an outcome in an unexposed group.

Sample relative risk =

$\dfrac{\text{P(lung cancer for coal miner)}}{\text{P(lung cancer for non coal miner)}}\\\\=\dfrac{\frac{1}{5}}{\frac{1}{50}} = \dfrac{50}{5} = 10$

Thus, sample relative risk is 10.