You know there's a problem with the media when Al-Jazeera is trusted more than NBC, CNN, and MSNBC. As Pew research's Journalism Project shows in the following table, the study attempted to measure not just whether people had heard of a variety of news sources, but which ones they really trusted when it came time to get straight info about politics and governments.
From "most distrusted" to least...
As Pew Research's Journalism Project reports,
There is not a single news source distrusted by at least half of all panelists or those with mixed or mostly conservative views. Six sources are distrusted 50% or more of consistent conservatives distrust and four are distrusted by most consistent liberals.
It's worth keeping in mind when reading the table that the 'distrust' numbers may be low for some less well known outlets mainly because most respondents have never heard of them, rather than because most respondents do trust them.
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An alternative way to look at the data...