Obama still leads Romney 49 percent to 43 in New Hampshire, but that’s down from the president’s 9-point lead in April.

Obama leads Romney by 14 points among female voters, while Romney has a 6-point advantage among men. Independents, who have tilted towards Romney nationally, are split between the two 41 to 41 in the Granite State.

New Hampshire is one of 12 battleground states that will be critical in determining the outcome of the 2012 election.

Romney launched his presidential bid and officially began his general election campaign in New Hampshire. He also owns a vacation house and maintains close ties to the Granite State, which is near his home state of Massachusetts, where he served as governor. 

The poll of 521 New Hampshire adults was conducted between July 5 and July 15 and has a 4.3 percent margin of error.