Answer to Question #136335 in Statistics and Probability for Michael

Question

A certain town has a population of 100,000, of which 20,000 are smokers and 80,000 are non-smokers. It is known that for the population, r(lung cancer | smoker) = 5% and r(lung cancer | non-smokers) = 1%. Suppose that 50% of lung cancer patients are chosen by simple random sampling, while 10% of residents without lung cancer are chosen by simple random sampling. By calculating r(lung cancer | smoker) in the sample using expected numbers, what can we say about

U = sample r(lung cancer | smoker) and V = population r(lung cancer | smoker)?

1. U = V
2. U < V
3. U > V

Answer 1

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