In a case stemming from the death of a woman after a botched cosmetic procedure, the Florida Supreme Court agreed to decide whether a hospital can be liable for treatment provided by emergency-room doctors who are independent contractors.

The justices said they will take up an appeal in a Miami-Dade County case involving the 2013 death of Suyima Torres, who was taken by ambulance to Doctors Hospital after she became unconscious following a cosmetic procedure at a clinic. Torres, 28, was treated in the hospital’s emergency room and intensive-care unit but died several hours later.