Women Die More from Heart Attacks Than Men Unless ER Doc Is Female 8 years ago
The preceding sentence says "If a heart attack patient is a woman and her emergency physician is a man, he says, her risk of death suddenly rises by about 12 percent."
The 11.9 percent mentioned in your quote refers to probability of death for the population (i.e. a random person where the gender of the patient and the doctor is unknown).
The 12.4 percent refers to probability of death for a woman given a male doctor. If that is 12 percent higher, as the quote above says, then the probability of death for a woman given a female doctor is about 11.07%
So its an increase of 1.3 percentage points. The article kind of obfuscates that though.