Hillary Clinton

Democratic Presidential candidate Hillary Clinton gestures during a panel discussion on national security, Wednesday, June 15, 2016, at the Virginia Air and Space Museum in Hampton, Va.

(Steve Helber, Associated Press)

CLEVELAND, Ohio -- Hillary Clinton and Donald Trump's race for Ohio remains a toss-up, with a new poll finding the two presumptive nominees are tied in the perennial battleground state.

The Quinnipiac University poll, released Tuesday, found Clinton and Trump tied at 40 percent. That compares to a May 10 poll that showed Trump leading Clinton in Ohio 43 percent 39 percent.

While the variation is within the poll's margin of error, Clinton's upward trend in Ohio is consistent with other recent state polling -- Clinton, the Democratic former Secretary of State, has led Trump, the Republican real-estate mogul, in three out of the last four surveys of Ohio voters tracked by RealClearPolitics.com.

The university conducted the new poll between June 8 and June 19 -- the deadly mass shooting on Orlando, Fla., took place on June 12 -- and surveyed 971 Ohio voters, with live interviewers calling a mix of land lines and cell phones. It found voters viewed Clinton as being more intelligent and prepared, as well as better able to tackle immigration issues and international crises.

Meanwhile, voters viewed Trump as more honest and trustworthy, and being stronger on job creation and terrorism.

The poll also found that 59 percent of Ohioans viewed Trump's assertion that an American-born judge hearing a lawsuit involving Trump University was biased against him because of his Mexican heritage as racist, compared to 33 percent who did not. While 32 percent of Republican voters did not view Trump's statements as racist, 88 percent of Democrats and 54 percent of independent voters did.

A majority of Ohioans continue to view both candidates unfavorably -- Clinton's unfavorablity rating was 59 percent, compared to 35 percent who viewed her favorably. Trump's unfavorability rating also was 59 percent, compared to 32 percent favorable.

Quinnipiac released the Ohio polling results alongside surveys in Pennsylvania and Florida, two other battleground states.

While the Pennsylvania results were similar to the university's polling last month -- showing Clinton leading 42 percent to 41 percent -- Clinton pulled out a 47 percent to 39 percent lead in Florida, expanding on a one-point lead in May.

Florida has a larger Latino voting base than the other two states -- about 18 percent of Florida voters are Hispanic, compared to about 5 percent in Pennsylvania and 2 percent in Ohio, according to the Pew Research Center.