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PSM · Screening: predictive value
Sample itemA screening test is applied to 100 people with a disease and 200 without. It is positive in 80 of the diseased and in 40 of the non-diseased. What is the positive predictive value?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. About 67%
Positive predictive value is true positives divided by all test positives: 80 / (80 + 40) = 66.7%. Sensitivity is 80/100 = 80% and specificity is 160/200 = 80%. PPV falls as prevalence falls, so screening in low-prevalence populations yields many false positives.
Option by option
A. About 89%
This is the negative predictive value, 160 ÷ 180.
B. 50%
This does not follow from the table; 80 true positives among 120 test positives is not half.
C. 80%
This is the sensitivity (80 of 100 diseased), not the PPV.
D. About 67% (correct)
Correct. 80 ÷ 120 ≈ 67%.
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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