Question

*Based on the information provided, which of the following expresses the SENSITIVITY of this test:The next two questions refer to the following information:A screening examination was performed on 250 persons for Factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results of diagnoses are charted here:Test ResultsDisease PresentDisease AbsentPositive for Factor X40 60Negative for Factor X10 140

Answer 1

The sensitivity of the test for detecting disease Y using Factor X is calculated using the number of true positives and false negatives. With 40 true positives and 10 false negatives from a total of 50 cases with disease Y, the sensitivity is 80%. This represents the test's high probability of correctly identifying patients with the disease.

Step-by-step explanation:

To calculate the sensitivity of the test for disease Y using Factor X, we will use the given data:

• True Positive (Disease Present, Positive for Factor X): 40
• False Negative (Disease Present, Negative for Factor X): 10
• Total with Disease Y: 40 (True Positive) + 10 (False Negative) = 50

Now, sensitivity is the ability of the test to correctly identify those with the disease, which is calculated by dividing the number of true positives (those correctly identified as having the disease) by the total number of actual disease cases.

Sensitivity = True Positives / (True Positives + False Negatives)

By plugging in our numbers:

Sensitivity = 40 / (40 + 10) = 40 / 50 = 0.8 or 80%

Therefore, the sensitivity of the test for detecting disease Y using Factor X is 80%, meaning there is a high probability that the test will correctly identify a patient with disease Y.