An article in the New York Times (Feb. 17, 1999) about the PSA blood test for detecting

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An article in the New York Times (Feb. 17, 1999) about the PSA blood test for detecting prostate cancer stated: ‘The test fails to detect prostate cancer in 1 in 4 men who have the disease (false-negative results), and as many as two-thirds of the men tested receive false-positive results.” Let C(C̅) denote the event of having (not having) prostate cancer, and let + (–) denote a positive (negative) test result. Which is true: P(– |C) = 1/4 or P(C | –) = ? P(C̅ | + ) = 2/3 or P(+ | C̅) = 2/3? Determine the sensitivity and specificity.

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