But that state's GOP voters expressed displeasure with the health care coverage program enacted while Romney was governor, with 51 percent saying the measure had gone too far. Romney has been criticized for that plan by his GOP rivals and has pledged, if elected, to repeal Obama's national health care overhaul, which resembles Romney's Massachusetts measure.
In Georgia, the exit poll showed the victory there by Gingrich, who represented the state in Congress for two decades, was propelled by people saying the former speaker's ties to the state were important.
Gingrich won 78 percent of the votes of Georgia Republicans saying his relationship to the state affected their vote, according to the survey.
Around 6 in 10 said his Georgia roots mattered little to them, and those voters were divided roughly evenly among Gingrich, Romney and Santorum.
In Vermont, Romney did strongly among rank-and-file Republicans. Texas Rep. Ron Paul ran solidly among the 4 in 10 independent voters.
In Virginia, where only Romney and Paul were on the ballot, Romney performed strongly across most categories of voters.
On two subjects, voters in each of the states Tuesday had the same view.
Given a choice of four issues, Republicans in every state named the economy as the one that most concerns them. Given four qualities to look for in a candidate, the one cited most often was an ability to defeat Obama in November.
The Ohio survey was conducted for The Associated Press and the television networks by Edison Research as voters left 40 selected polling places in the state. The Ohio poll involved interviews with 2,728 voters and has a margin of sampling error of plus or minus 3 percentage points.
Edison Research also conducted interviews at randomly chosen polling places in Georgia, Massachusetts, Oklahoma, Tennessee, Vermont and Virginia.
AP News survey specialist Dennis Junius contributed to this report.
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