Americans are sharply divided on whether they would support Hillary ClintonHillary Diane Rodham ClintonWhat did Peter Strzok do? The strategic blunder of ‘Trump-as-Hitler’ Races to watch in Tuesday’s primaries MORE if she ran for president in 2016, according to a new poll released Tuesday night. 

While 38 percent of registered voters say they would probably or almost certainly back Clinton’s candidacy, 37 percent of respondents in the NBC  Wall Street Journal poll said they would oppose her.

The survey also found that Clinton’s approval ratings have dipped since the launch of her national book tour earlier this month, although the former secretary of State remains above water.

While 37 percent of respondents said they viewed Clinton negatively, 44 percent said they saw the former first lady in a positive light. That’s a drop from April, when 48 percent approved of Clinton and 32 percent viewed her negatively.

The most troubling sign for Clinton may be the sheer number of Republicans and independents who say there is “no chance” they would vote for her. Seven in 10 members of the GOP and four in 10 independents couldn’t imagine voting for her.

But Clinton does enjoy the support of 75 percent of Democrats, 51 percent of women, 82 percent of blacks, and 43 percent of young voters.

And more than half of all Americans, 55 percent, say she is knowledgable enough to handle the presidency.