To evaluate the performance of a new diagnostic test, the developer checks it out
on a one hundred known cases of the disease for which the test was designed,
and on two hundred controls known to be free of the disease. Ninety of the
cases yield positive tests, as do thirty of the controls. Find the sensitivity and
specificity of the test? [4]
(Hint: Sensitivity is the probability that a test is positive given that the disease is
present, and specificity is the probability that the test is negative given that the
disease is absent)