(CNN) - A new survey of Arizona Republicans indicates that Mitt Romney and Herman Cain are tied at the top in the race for the GOP presidential nomination.
And a Rocky Mountain Poll released Wednesday also indicates that President Barack Obama holds a slight advantage over three possible Republican challengers in hypothetical 2012 general election matchups.
Arizona may be more of a player in the battle for the Republican nomination, as the state has moved up the date of its primary to February 28. CNN and the Arizona Republican party are holding a debate in the state on November 30. The state may also be competitive in the general election.
According to the survey, 25% of Arizona Republicans say if the state's primary were held today, they would vote for Cain, a businessman, former Godfather's Pizza CEO and radio talk show host, with 24% saying they would back Romney, the former Massachusetts governor, who's making his second bid for the White House. Cain's one point margin is well within the survey's sampling error.
Texas Gov. Rick Perry is at 10%, with all other candidates in single digits and one in five Arizona Republicans undecided.
Among independent voters, Cain and Romney are tied at 15%, with Rep. Ron Paul of Texas at 14% and everyone else in single digits and 28% undecided. Republicans and independents are allowed to vote in Arizona's GOP presidential primary.
The survey indicates that Obama holds a 45-40% margin over Romney in a hypothetical general election showdown, with Obama holding 44-38% advantage over Perry and a 45-38% advantage over Cain. All of Obama's margins are within the poll's sampling error.
The Rocky Mountain poll was conducted Oct. 13-14, with 581 registered voters in Arizona questioned by telephone. The survey's overall sampling error is plus or minus 4.1 percentage points.