5. (6) A study published in described a saliva-based test for COVID administered to patients admitted to a hospital between January and February 2022 during the omicron variant wave. The test was shown to be 77% sensitive and 95% specific. Calculate the positive predictive value, p(D|T ), of the test in the following three populations. a. Symptomatic patients where p(D) = 0.80 b. Asymptomatic patients where p(D) = 0.25 c. General public during an outbreak where p(D) = 0.01