AP Statistics· difficulty 4/5
A disease has prevalence 1%. Test sensitivity is 95%, false positive rate is 10%.
Given a positive test, what is the probability of disease?
0.01
0.0876
0.95
0.50
Explanation
P(D|+) = 0.01(0.95)/[0.01(0.95) + 0.99(0.10)] = 0.0095/0.1085 ≈ 0.0876.
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