Freedonia mortality rate

Freedonia contains some community hospitals and an academic medical center, staffed by the
most experienced physicians. All the hospitals are operating at near capacity. The table below
shows 30-day mortality outcomes (the fractions of patients who die) for otherwise identical
patients seen at the two types of hospitals.
Academic Center Community hospital
High risk patient 30% 32%
Low risk patient 5% 6%
Fredonia is trying to decide where to send high-risk and low-risk patients. It is also considering
funding a training program that will improve outcomes for high risk patients but can be
conducted at only one of the hospitals. Where should it deploy its resources?