The Negative Predictive Value (NPV) of a test is the probability that subjects with a negative test result truly don't have the disease. To calculate the NPV, we use the formula:
NPV = (True Negatives) / (True Negatives + False Negatives)
From the problem statement, we have:
- 20 patients who tested negative had ovarian cancer (False Negatives, FN = 20).
- Assuming 100 total tested negatives, then True Negatives (TN) = 100 - 20 = 80.
Applying the values to the NPV formula:
NPV = 80 / (80 + 20) = 80 / 100 = 0.8
This calculates the NPV to be 80 out of 100, or 80%.