It doesn't have to be the FCC, but the local radio station that is allowing their airwaves to be used should have some responsibility to make sure that their hosts are not filling the air with false or incomplete information.
Usually if a family member comes to ask or tell me about something, the first thing I ask is, "where did you hear that from?" And if they say "the Hmong radio," it is deemed false until I could verify it from a credible source.