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The sensitivity of a diagnosis test is its ability to approproately give a posit

ID: 3324772 • Letter: T

Question

The sensitivity of a diagnosis test is its ability to approproately give a positive result when a person tested has the disease, P(Positive test | Cancer). The sensitivity of mammography is

The answer is 0.80, but I am not sure how to get there.

The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 40s who takes a mammography to screen for breast cancer: 0.8 Positive Cancer 0.0149 0.2 Negative Positive No cancer 0,9 Negative

Explanation / Answer

P(Positive test | Cancer). = P(Positive test and Cancer)/P(Cancer)

P(Positive test | Cancer). = (0.80*0.0149)/0.0149 = 0.80

So, P(Positive test | Cancer). = 0.80

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