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PSM · Epidemiology: predictive value at low prevalence
Sample itemA test with 90 percent sensitivity and 90 percent specificity is used in a population where the disease prevalence is 1 percent. About what proportion of positives are truly diseased?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. 8 percent
In 1000 people, 10 are diseased and 9 test positive; of 990 healthy, 99 test false positive. So 9 of 108 positives, about 8 percent, are true. Low prevalence lowers the positive predictive value.
Option by option
A. 8 percent (correct)
Correct. 9 of 108 positives are true.
B. 90 percent
90 percent is the sensitivity.
C. 1 percent
1 percent is the prevalence.
D. 50 percent
50 percent would need a much higher prevalence.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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