For the COVID example we did in class, say that the entire U…
For the COVID example we did in class, say that the entire US population size is 10000. Let’s change the test accuracy to 96%, i.e. P(T|D)=P(T^c|D^c)=0.96. 1200 people have the disease (12% from our example), 1152 people have the disease and test positive (96% true positive rate). What is P(D|T), that is the probability of having the disease given that you test positive using the Bayes’ rule? Use the tree diagram.