2.128 Patients in “poor” or “good” condition. Refer to the previous exercise. 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. The entries in the original two-way table are just the sums of the “poor” and “good” entries in this pair of tables.
| Good condition | ||
|---|---|---|
| Hospital A | Hospital B | |
| Died | 6 | 8 |
| Survived | 594 | 592 |
| Total | 600 | 600 |
| Poor condition | ||
|---|---|---|
| Hospital A | Hospital B | |
| Died | 57 | 8 |
| Survived | 1443 | 192 |
| Total | 1500 | 200 |
(a) Find the death rate for Hospital A patients who were classified as “poor” before surgery. Do the same for Hospital B. In which hospital do “poor” patients fare better?
(b) Repeat part (a) for patients classified as “good” before surgery.
(c) What is your recommendation to someone facing surgery and choosing between these two hospitals?
(d) How can Hospital A do better in both groups, yet do worse overall? Look at the data and carefully explain how this can happen.