If I owned any of these news organizations, this survey would concern me and I would try to find a way to rebuild that trust
The media not only seems to not care but goes out of it's way to increase that mistrust
The problem is that most of these companies have absentee ownership, with mass amounts of stock held by institutional investment firms that don't give a flying hoot what goes on so long as the stock price keeps going up (and that doesn't even necessarily require profit anymore). That's especially true of CNN.
Fox, CBS, NBC... they're a little different in that the Lucky Sperm Club controls those firms. Murdochs, Redstones and Robertses respectively. They have the stock structure rigged in their favor (just like Zuckerberg does with Facebook) so they can manipulate things however they want.