Fox news is a source i for one personally trust less to be accurate then China's state run Xinhua reporting on happenings in america. I base this on personal experiance.
Immidiatly after 9/11, Fox news "broke" a major story about how two of the terrorist pilots of the planes were supposedly flight trained at Embry riddle aeronautical university in Florida. I was attending college at Embry riddle in Prescott, AZ at the time.
The media immidiatly swarmed both campuses, resulting in a complete lockdown. very bad things were said about our admissions processes, and of the students there. Three days later they issued a retraction, saying oops, it wasn't embry riddle. sorry, no hard feelings ok? they got the state right, but it was some podunk little cessna school.
In the long run, i don't know that it mattered, but at the time it was rather uncomfertable, especially as i was Editor in chief of the school newspaper at the time, and when the PR people wouldn't talk, the local stations ended up trying to interview me a few times over the phone. Was rather annoying.
So no, fox news is a heaping pile of ****, suitable only for occasionally reporting a significant natural disaster sometimes before other stations. beyond that, useless.