6.30 Whichhospital is safer?To help consumers makeinformeddecisions about health care, the government releases dataabout patient outcomes in hospitals. You want to compare Hospital Aand Hospital B, which serve yourcommunity. Here are data on allpatients undergoing surgery in a recent time period. The datainclude the condition of the patient (“good” or“poor”) before thesurgery. “Survived”means that thepatient lived at least 6 weeks following surgery.
Good ConditionHospital AHospital BDied68Survived594592Total600600Poor ConditionHospital AHospital BDied578Survived1443192Total1500200
(a) Comparepercents to show that Hospital A has a higher survival rate forboth groups of patients.
(b) Combine the data intoa single two-way table ofoutcome(“survived” or “died”) by hospital (A orB). The local paper reports just these overall survival rates.Which hospital has the higher rate?
(c)Explain from the data, in language that a reporter can understand,how Hospital B can do better overall even though HospitalA doesbetter for both groups of patients.