Pre-eclampsia is a disorder of pregnancy in which the interaction between mother and placenta is disrupted, causing a hypertensive response. Various studies have investigated the accuracy of using...

Pre-eclampsia is a disorder of pregnancy in which the interaction between mother and placenta is disrupted, causing a hypertensive response. Various studies have investigated the accuracy of using blood pressure to predict pre-eclampsia.9 Consider a test that predicts pre-eclampsia when mean arterial pressure is at least 90 mm Hg. Assume that the sensitivity of this test is P (+|D)=0.62 and that the specificity of this test is P (−|Dc)=0.82. (a) What is the conditional probability of a false positive test result? (b) What is the conditional probability of a false negative test result? (c) Suppose that a pregnant woman is selected at random from a population in which the prevalence of pre-eclampsia is P(D) = 0.05. Construct a tree diagram that describes this experiment.(d) What is the probability that the above test will diagnose the selected woman as having pre-eclampsia? (e) Suppose that the above test does diagnose the selected woman as having pre-eclampsia. What then is the probability that this woman actually does have pre-eclampsia?