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Insurance companies and consumers are interested in the performance of iospitals. The government releases data about patient outcomes in hospitals that can be useful in making inforned health care decisions. Here is a two- way table of data on the survival of patients after surgery in two hospitals. All patients undergoing surgery in a recent time period are included. Survived means that the patient lived at least 6 weeks following surgery Hospital pital Died 16 784 800 2037 Total 2100 (a) What percent of Hospital A patients died? What percent of Hospital B patients died? These are the numbers one might see reported in the media. Not all surgery cases are equally serious. however. Patients are classified as being in either poor or good condition before surgery. Here are the data broken down by patient condition. Check that the entries in the original two-way table are just the sums of the poor and good entries in this pair of tables. Gnad Condition Poor endition HupitalHopital li.npital \ !씨,.tal R Died Survived Died Survived Total 57 443 1500 594 592 600 200 b) Find the percent of Hospital A patients who died who were classified as poor before surgery. Do the same for Hospital B. In which hospital do poor patients fare better? e) Repeat (b) for patients classified as good before surgery d) What is your recommendation to someone facing surgery and choosing between these two hospitals e How can Hospital A do better in both groups. yet do worse overall? Look at the data and carefully explain how this can happen.
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