4.29 A diagnostic test for a certain disease is said to be 90% accurate in that, if a person has the disease, the test will detect it with probability 0.9. Also, if a person does not have the disease, the test will report that he or she doesn’t have it with probability 0.9. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test reports him to have the disease, what is the conditional probability that he does, in fact, have the disease? Are you surprised by the size of the answer? Would you call this diagnostic test reliable?