The department webpage itself, however, suggests this is a temporary set-back. If you follow the link "Want to Major in Anthropology?" on the FSU webpage, you get this message:
Prospective Students Information
Unfortunately due to state budget challenges the Department of Anthropology is not currently admitting new students to the major or admitting new graduate students. Please leave your name and email contact information if want to major in anthropology when this suspension is lifted. We encourage everyone to give us this information to help us document the demand for the major.
I assume the faculty must be losing their jobs, though, since I can't imagine that merely suspending the major would actually save the university any money. On the other hand, my liberal arts college is currently undertaking a review with an eye to closing certain programs. The administration has already said that they won't fire any tenured or tenure-track faculty, however, and our campus has very few adjuncts. It isn't at all clear how closing these departments will save the university money if the faculty are still being paid their salaries. The programs being eliminated do not have their own administrative staff, so there is nothing to be gained in the short-term.