You need to be a little more specific as to which residency you're talking about, because a lot of Jacobi's residencies split time between Jacobi (public hospital), Montefiore (private hospital). The medicine and peds programs do not.
I'm there as an resident and I woulld say that Pir8 is sorely misinformed. I've only spent time in the ED and Medicine and ICU floors, and I only draw labs/put in IV's on the trauma patients that come in and need intervention right away. True, the hospital does not have as many nurses/transport as some of the cushier hospitals in Manhattan, but things will get done if you put in orders, especially once you get to know the nurses and do not act like a jerk. You see a lot of uninsured/recent immigrants/homeless and there are more social admits than normal, but you deal less with private patients and private docs which is nice. The area is safe and tree lined and not the "Bronx" that most people have heard of, since it's farther up north and almost near Westchester.
While the nurses are unionized, the residents are unionized as well. Which means you get paid 55K per year and get a ton of nice benefits. They are pretty strict on work hour rules as well since it's a government hospital.