President Barack Obama stands at 44% and GOP challenger Mitt Romney has 42% in the Rocky Mountain poll released Saturday. The margin is within the poll's sampling error.
The state's two most populous counties, Maricopa and Pima, came out in support of Obama, while Romney has a lead in the rural counties. Men are evenly split between the two candidates, and the difference between the candidates among women is only three points.
Obama is the heavy favorite among the state's Latinos, who split for him 77% to Romney's 10%.
The Rocky Mountain poll included 523 registered voters reached by phone between October 4 and 10, entirely after the first presidential debate. The poll has a sampling error of plus or minus 4.4 points.