Transplant operations have become routine. One common transplantoperation is for kidneys. The most dangerous aspect of theprocedure is the possibility that the body may reject the neworgan. There are several new drugs available for such circumstancesand the earlier the drug is administered, the higher theprobability of averting rejection. The New England Journal ofMedicine recently reported the development of a new urine test todetect early warning signs that the body is rejecting atransplanted kidney. However, like most other tests, the new testis not perfect. In fact, 20% of negative tests and 9% of positivetests prove to be incorrect. Physicians know that in about 32% ofkidney transplants the body tries to reject the organ. If the newtest has a positive result (indicating early warning of rejection),what is the probability that the body is attempting to reject thekidney?
