Question

Suppose that your company has just developed a new screening test for a disease and you are in charge of testing its validity and feasibility.You decide to evaluate the test on 1000 individuals and compare the results of the new test to the gold standard.You know the prevalence of disease in your population is 30%.The screening test gave a positive result for 292 individuals.285 of these individuals actually had the disease on the basis of the gold standard determination.

Calculate the sensitivity of the new screening test.

95.0% 97.6% 99.0% 96.9%

Answer 1

Answer:

The sensitivity of the new screening test is 97.6%

Step-by-step explanation:

The sensitivy of a test, or true positive rate, is defined as the proportion of positive results that are correctly identified. It is complementary to the proportion of "false positives".

In this case the test gave 292 positive results. Of this 292 tests, 285 of these individuals actually had the disease.

So the sensititivity is equal to the ratio of the true positives (285) and the total positives (292)

$Sensitivity=\frac{TP}{P}=\frac{285}{292}=0.976=97.6\%$