"hospitals have a lot of sick people, therefore I should stay away from hospitals because they will make me sick!"
Your reply applies (at least) equally well to the following argument: all plants have green leaves; roses have green leaves; therefore roses are plants. In both cases your reply would defend an obviously silly inference pattern by pointing to one instance in which it leads to a true conclusion. (Although in your case the inference actually predicts that hospital-provided medical care has a negative marginal effect on health, not a neutral one.)
My roommate recently sent me a review article that LW might find interesting:
Personal observation says that LWers tend not to drink very much or often. Perhaps that should change, to the degree suggested by the article?
Full article here.