Should tenant stop paying rent to protest apartment's shabby carpets?

Carpets in a family's apartment show signs of wear in every room. The property manager has responded to tenant requests to address the problem only with vague promises to 'get to it.'Question: When I moved my family into our apartment five years ago, the carpets were in very poor shape. They had obviously been installed there several years earlier. During the time we have lived there, the carpets have begun to show signs of wear in every room. In some spots, there is almost no carpet left.