That poll was split along party lines with 90% of republicans saying rump was more truthful. Of course, 2/3 of republicans also think Obama is a Muslim, 41% still believe he was born in Kenya, and 49% don't believe in evolution. Not a really smart group. Other, more recent polls show less trust in Trump
New low for Trump in Gallup tracking poll— 40% approve, 55% disapprove
http://bit.ly/2j6waY8
But 53% of the general public believe President Trump is truthful and only 39% believe the news media is truthful, so it is not just Republicans who trust the President to be more truthful than the news media. A recent Gallup poll shows that less than one out of three Americans trust the news media.
Thirty-two percent of the respondents in Gallup’s most recent national poll said that they have “a great deal” or “a fair amount” of trust in the mass media, an eight percentage-point drop compared to 2015. It’s the lowest point in Gallup’s polling history, which began asking respondents whether they had trust and confidence in the media in 1972.
Public trust in the media fell among respondents who identified as Democrats, Republicans and independents, but the decline in trust in the media was most pronounced among Republicans, whose confidence in the media dropped from 32 percent in 2015 to 14 percent in 2016.
Gallup poll: Public confidence in media falls to all-time low
And a current Rasmussen poll shows President Trump's favorable/unfavorable and job approval ratings are at 52%. So clearly, the general public trusts the President more than they do his critics in the news media and the majority of likely voters support the job he is doing.