Republican voters in a new Hill-HarrisX poll overwhelmingly said they think that President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE is held to a higher standard of personal behavior than past presidents.

In the survey, 67 percent of registered voters who favor Republicans said that they believed Trump is expected to behave better than his predecessors. Only 15 percent of GOP voters said that Trump is held to a lower standard while another 15 percent said the president is treated about the same.

A majority of Democratic voters -- 60 percent -- said that Trump is held to lower behavioral expectations. Twenty percent said the president is evaluated by the same metrics while 14 percent said he is held to higher ones.

Independent voters were closely divided, with 36 percent saying Trump is held to lower standards and 32 percent saying he is expected to meet higher expectations. Twenty-three percent said Trump is held to the same standards while 10 percent were unsure.

The results reflect a deep public divide over the president's highly polarizing style and agenda as well as how Trump made attacks on the press integral to his message, Joanna Piacenza, a features editor at Morning Consult said Monday on Hill.TV's "What America's Thinking."

"He's done a very good job of setting up some sort of war between him and the media," Piacenza said. "And what we're seeing here is that independents are right in the middle of it."

Last May, CBS News correspondent Lesley Stahl reported that Trump told her that he frequently denigrates journalists in order to inoculate himself from damaging, factual stories.

"He said, 'You know why I do it? I do it to discredit you all and demean you all so when you write negative stories about me, no one will believe you,'" Stahl told a journalist group.

Overall, Americans appear closely divided about behavioral expectations for Trump. Thirty-eight percent of all respondents said he is held to lower expectations while 37 percent said he is held to higher ones. Nineteen percent said he is held to the same standards as other presidents while 6 percent were unsure.

Younger voters, those between 18 and 34, were the age group most likely to say Trump is held to a lower standard of behavior while older respondents between 50 and 64 were most likely to say he is held to unfairly high expectations.

Forty-three percent of younger voters said Trump is evaluated on a lower metric compared to past presidents while 40 percent of respondents between 50 and 64 said he is held to higher expectations.

Voters over 65 were evenly split, with 40 percent saying Trump is subjected to lower standards and 40 percent saying he is held to higher standards.

The Hill-HarrisX survey was conducted Feb. 23-24 among 1,002 registered voters and has a sampling margin of error of 3.1 percentage points.

--Matthew Sheffield