WASHINGTON (CNN) - Sen. Hillary Clinton and former New York City Mayor Rudy Giuliani are neck-and-neck with Connecticut voters in a hypothetical presidential election match-up, according to a Quinnipiac University poll released Thursday.
The Democratic senator from New York and the former New York City mayor are the frontrunners in their respective presidential primary races. Clinton has the support of 45 percent of Connecticut voters, while 44 percent support Giuliani, the poll found.
Nutmeg State voters view Giuliani (52 percent) more favorably than Clinton (48 percent). But while Clinton's favorable rating has remained virtually unchanged since May, Giuliani has dropped 9 percentage points during that time.
Both candidates have more than 20-point leads over their closest rivals for their individual party nominations.
In the Democratic primary, the former first lady has 45 percent of the vote, beating out Illinois Sen. Barack Obama, 19 percent, and former North Carolina Sen. John Edwards, 7 percent.
Connecticut Sen. Chris Dodd has only 5 percent of vote in the Democratic primary race. Even though 55 percent approve of the way Dodd is handling his job as senator, 70 percent say he should drop out of the presidential race.
"Voters in Connecticut are being asked to look at Sen. Dodd in a completely different light and we're confident that when they do begin to look at their choices for president, and they look at the issues that matter to them most, they're going to see that Chris Dodd has the proven record of results," Dodd campaign representative Colleen Flanagan said in response to the poll results.
On the Republican side, 41 percent favor Giuliani over former Massachusetts Gov. Mitt Romney, 13 percent; Arizona Sen. John McCain, 12 percent; and former Tennessee Sen. Fred Thompson, 7 percent.
If the general election boiled down to Obama and Giuliani, the state would be split right down the middle, with each polling at 43 percent.
If Clinton were to run against Romney in the general election, Clinton would win in Connecticut with 51 percent of the vote, with Romney polling at 34 percent.
The poll was conducted among 1,029 Connecticut registered voters from November 1 to 5, with a margin of error of plus-or-minus 3.1 percentage points.
– CNN Political Assignment Editor Katy Byron