Hillary ClintonHillary Diane Rodham ClintonChris Murphy’s profile rises with gun tragedies DNC, RNC step up cyber protections Gun proposal picks up GOP support MORE holds only a 5-point lead over New Jersey Gov. Chris Christie (R) in New Hampshire in a new poll. 

The Dartmouth Rockefeller Center State of the State poll shows the former secretary of state beating both Christie and Sen. Marco RubioMarco Antonio RubioOvernight Defense: Tillerson, Trump deny report of rift | Tillerson says he never considered resigning | Trump expresses 'total confidence' in secretary | Rubio asks Army to kick out West Point grad Rubio asks Army to kick out West Point grad with pro-communist posts GOP establishment doubts Bannon’s primary powers MORE (R-Fla.) in head-to-head match-ups, but having an easier time with Rubio.

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The poll gives Clinton 37 percent support to Christie's 32 percent support in the first-in-the-nation primary state, while 31 percent of respondents said they were unsure.

Clinton takes 44 percent against Rubio, who receives 33 percent of the vote. Twenty-three percent of voters are undecided on that match-up.

The poll comes amid a growing controversy over the Sept. 11 attack on the U.S. Consulate in Benghazi, Libya. ABC News reported Friday that the State Department changed talking points related to the attack in a way that downplayed any role terrorists played. The administration later acknowledged Benghazi was a terrorist attack. 

The State Department under Clinton has also been criticized for not doing more to improve security ahead of the attack.

Respondents in the Dartmouth poll were asked whether they'd suggest another candidate for president, and the top response was Sen. Rand PaulRandal (Rand) Howard PaulHouse bill set to reignite debate on warrantless surveillance Authorizing military force is necessary, but insufficient GOP feuds with outside group over analysis of tax framework MORE (R-Ky.), with 5 percent. Paul came in ahead of Vice President Biden, with only 2 percent of respondents naming him.

The poll also gives Sen. Jeanne ShaheenCynthia (Jeanne) Jeanne ShaheenHomeland Security searching some social media doesn't violate privacy The feds shouldn't blackball Kaspersky without public evidence Week ahead: Crunch time for defense bill’s cyber reforms | Equifax under scrutiny MORE (D), up for reelection in 2014, solid favorables and a comfortable lead over two of her most likely Republican challengers, state Senate Majority Leader Jeb Bradley and former Massachusetts Sen. Scott Brown. 

Brown performs slightly better than Bradley, taking 30 percent of the vote to Shaheen's 44 percent. Bradley takes 25 percent support to Shaheen's 48 percent.

For Sen. Kelly AyotteKelly Ann AyotteDems plan to make gun control an issue in Nevada Stale, misguided, divisive: minimum wage can't win elections Trump voter fraud commission sets first meeting outside DC MORE (R), however, the poll is more troubling. While the portion of respondents who view her favorably has stayed steady since 2012, at 36 percent, those who view her unfavorably have increased 7 percentage points, to 31 percent.

It's another in a series of surveys that suggests Ayotte's opposition to expanding background checks on gun purchases has hurt her.

The survey was conducted among 433 New Hampshire registered voters from April 22-25 and has a margin of error of 4.7 percentage points.