Washington (CNN) - A new national survey of Republicans indicates that it's basically all tied up between Mitt Romney and Newt Gingrich in the race for the GOP presidential nomination, with Gingrich on the rise and businessman Herman Cain falling due to the sexual harassment allegations he's been facing the past two weeks.
According to a CNN/ORC International Poll released Monday, 24% of Republicans and independents who lean towards the GOP say Romney is their most likely choice for their party's presidential nominee with Gingrich at 22%. Romney's two-point advantage is well within the survey's sampling error.
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While the level of support has pretty much stayed the same for Romney, the former Massachusetts governor who's making his second bid for the White House, Gingrich has seen his support jump 14 points since October.
The poll also indicates that 14 percent back Cain, down 11 points from last month. Four women have alleged that Cain sexually harassed them during the late 1990s when he headed the National Restaurant Association. Cain denies the allegations.
"Cain is struggling with the charges of sexual harassment, and while most Republicans tend to dismiss those charges, roughly four in 10 Republicans think this is a serious matter and tend to believe the women who made those charges," CNN Polling Director Keating Holland said.
The survey indicates that only a bare majority of Republicans tend to believe Cain, and more than a third say he should end his presidential campaign. Among the general public, Cain has a bigger credibility problem - 50% of all Americans say they tend to believe the women and only a third say they believe Cain.
"Not surprisingly, there is a big gender gap on this matter - women say this is a serious matter and believe the women, but men say the story has been overblown and are split on which side they believe," Holland added.
Texas Gov. Rick Perry is at 12% in the survey, basically all even with Cain for third place in the hunt for the nomination. Perry was at 13% in CNN's October poll. The new survey was conducted Friday through Sunday, entirely after last Wednesday's presidential debate where Perry suffered an embarrassing "oops" moment when the one-time front-runner struggled for nearly a minute to name the third of three federal agencies he would cut if elected president.
While Perry's overall horse race number has not suffered, dig deeper into the poll and it appears the "oops" moment is hurting his standing with Republican voters. In September, 72% of Republicans said Perry had the right personal qualities to be president. A majority of Republicans still feel that way, but that number has dropped 14 points since September.
According to the poll, Rep. Ron Paul of Texas, who's making his third run for the presidency, is at 8%, with Rep. Michele Bachmann of Minnesota at 6%, former Utah Gov. and former ambassador to China Jon Huntsman and former Sen. Rick Santorum of Pennsylvania each at 3%, and 8% are unsure.
The poll's Monday release comes seven weeks and one day before the Iowa caucuses, the first contest on the primary and caucus calendar. The survey indicates that just over six in 10 Republicans say they may change their minds, with 31% say they will definitely support the candidate they are currently backing.
With Cain dropping and Perry flat-lining, it looks like it's Gingrich's turn to become the "anybody but Romney" candidate. If the GOP race becomes a two-man battle between Romney and Gingrich, the poll indicates they are well-matched. Romney and Gingrich are the two most popular Republican candidates among the GOP rank and file, and the only two with favorable ratings above 50% among the Republicans surveyed.
More than three-quarters of Republicans think both men have the right personal qualities to be president and more than seven in 10 Republicans say they agree with Gingrich and Romney on important issues.
The key difference between Romney and Gingrich is electability. For the first time in CNN's polling, Romney now tops Barack Obama in a head-to-head matchup among registered voters. But Gingrich faces an 8-point deficit when paired with Obama in a general election matchup.
"Among all Americans, 58% say that Romney has the personal qualities a president should have, compared to just 45% for Gingrich. Most Americans don't agree with either man on important issues," Holland said.
The CNN poll was conducted by ORC International, with 1,036 adults Americans, including 480 Republicans and Independents who lean Republican, as well as 552 men and 514 women, questioned by telephone. The overall sampling error is plus or minus three percentage points, with a sampling error of plus or minus 4.5 percentage points for questions only of Republicans and independents who lean towards the GOP.
- CNN Deputy Political Director Paul Steinhauser contributed to this report.