Step 1
The sensitivity of that test is calculated as the number of diseased that are correctly classified, divided by all diseased individuals.
Step 2:
[tex]\begin{gathered} \text{Sensitivity = }\frac{n\text{umber of true positive}}{\text{total number of positive}}\text{ }\times\text{ 100\%} \\ n\text{umber of true positive = }52 \\ \text{total number of positive = 52 + }12\text{ = 64} \\ S\text{ensitivity = }\frac{n\text{umber of true positive}}{\text{total number of positive}}\text{ }\times\text{ 100\%} \\ S\text{ensitivity = }\frac{52}{\text{6}4}\text{ }\times\text{ 100\%} \\ \text{Sensitivity = 81.25 \%} \end{gathered}[/tex]
Final answer
Sensitivity of the test = 81.25%
