Sensitivity is a measure of the test's ability to correctly identify those with the disease (true positives) among all individuals who actually have the disease. It is calculated using the formula:
Sensitivity = (True Positives) / (True Positives + False Negatives)
In this problem:
- The gold standard test identified 100 true positives.
- The screening test identified 90 positives, which are assumed to be true positives as compared to the gold standard.
Thus, applying the formula:
Sensitivity = 90/100
Therefore, the sensitivity of the screening test is 90/100 or 90%.