Grand Theft Auto IV Walkthrough

Go into the hospital (remember -- wield no weapons), and swing right to go down a new hallway into the ER rooms. You'll overhear some humorous, inappropriate conversations as you go down the hallway. You should be able to go down this hallway without any problems until you approach Anthony's room. The two cops guarding it will draw weapons and tell you to stand down, but they won't fire unless you continue to approach them or draw a weapon of your own. The best technique to employ here is, once you encounter the cops, back up and head into a nearby room. Draw your weapon of choice, and then burst back out and take the cops out. There are more cops in Anthony's room -- make sure to kill them all, and to take out Anthony as well (a little sad shooting an unconscious dude in a hospital bed, I know). Then, begin running out of there. You've no doubt caught police attention with your heinous act of killing.

Cops are gonna burst into the hospital from everywhere, so have your gun drawn and ready to fire. Naturally, the quicker you get out of the thin corridor leading to Anthony's room, the better your chances of survival are, simply because once out of that corridor, you can go back outside, jack a car, and get out of dodge. You'll have a three star wanted level or so (depending on how many lives you took inside the hospital, especially those of police officers), so run around wildly on the streets of Alderney (and beyond) until you lose your wanted level. Once you do, the mission ends in success. Anthony won't be able to rat you out, after all.