A new rapid diagnostic test for a certain infectious disease is evaluated. In a study of 1000 individuals, 200 truly have the disease. The test correctly identifies 180 of those with the disease and correctly identifies 700 of those without the disease. What is the sensitivity of this new test?

Explanation

Sensitivity is the proportion of truly diseased individuals who are correctly identified by the test. It is calculated as True Positives (TP) / (True Positives + False Negatives (FN)). Given: Total individuals = 1000 Truly diseased = 200 Test correctly identifies those with disease (True Positives, TP) = 180 Test correctly identifies those without disease (True Negatives, TN) = 700 From this: False Negatives (FN) = Truly diseased - True Positives = 200 - 180 = 20 Sensitivity = TP / (TP + FN) = 180 / (180 + 20) = 180 / 200 = 0.9 = 90%.