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Unformatted text preview: vity = P(P|C) = 0.86; specificity = P(Pc|Cc) = 0.88 Thus P(P) = P(C)x P(P|C) + P(Cc)x P(P|Cc) = (0.001)(0.86)+(0.999)(1‐0.88) = 0.12074 P(C|P) = P(C and P)/ P(P) = [P(C)xP(P|C)]/P(P) = (0.001)(0.86)/(0.12074) = 0.0071227 c
c. P(C |P) is the probability of false positive. Young population: P(Cc|P) = 0.9929 (higher) Older population: P(Cc|P) = 0.9310 (lower) Or from tree diagrams, 120 out of 121 were false positives among younger women while 12 out of 13 were false positives for older women. So the rate of false positives is higher...
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