To assess the sensitivity and the specificity of a diagnostic test, a sample of 100 patients known to have the disease and a sample of 100 demographically similar patients known not to have the disease were administered the test. In the first group, 95 tested positive, while in the second group, 10 did.

Answer the following questions on the Answer Sheet.

(4 marks) The prevalence of the disease in the demographic of interest is 2.5%. Using the estimates of sensitivity and specificity from the data above, if a person tests negative, what is the probability that they do not have the disease?