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:

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.

[tex]\text{P(Lung cancer for coal miner)} = \dfrac{30}{150} = \dfrac{1}{5}[/tex]

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

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

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 =

[tex]\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[/tex]

Thus, sample relative risk is 10.

The sample relative risk in this study researching the probability of increased lung cancer risk because of working in a coal mine is 10 times.

What is the Sample Relative Risk?

The sample relative risk is a comparison of the probability of facing risks between two outcomes.  For example, in this study, the relative risk for a coal miner getting lung cancer is 10 times when compared with a non-coal miner's.

Data and Calculations:

Risk of having lung cancer from group 1 = 20% (30/150)

Risk of having lung cancer from group 2 = 2% (5/250)

Sample relative risk = Risk of Group 1 /Risk of Group 2

= 10 x (20%/2%)

Thus, the sample relative risk in this study researching the probability of increased lung cancer risk as a coal miner is 10 times when compared with the same risk faced by a non-coal miner.

Learn more about sample relative risk at https://brainly.com/question/19562006