No poll question was asked specifically about the comment.
However, voters were asked about another controversy that has dogged the candidate in recent weeks: racially incendiary comments made by the Rev. Jeremiah A. Wright Jr., the now-retired pastor of Obama's church in Chicago. The furor prodded Obama to deliver a major speech on race in America last month.
In Pennsylvania, the flap seems to have marginally helped Obama more than hurt him: 24% said his handling of the issue made them think more highly of him; 15% said it made them think less highly of him; 58% said it made no difference in their views.
Many Democratic voters, however, see Obama's association with Wright as posing a problem for him in the general election -- 46% in Pennsylvania said they expected it to hamper him in a contest with presumptive Republican nominee John McCain; in Indiana, 47% agreed with that, and in North Carolina, 42%.
"I can't help but think the church is a big influence on him," said Roberta Rowe, a retiree in West Middlesex, Pa. "I'd like to feel completely comfortable, but that one issue there is really gnawing at me."
In the follow-up interviews, some voters complained that the criticism of his pastor and the allegations that Obama was elitist were sideshows.
"All this back-and-forth is not really staying on the issues that I want to hear from" the White House candidates, said Joseph Robinson, a disabled worker in Lafayette, Ind. He was unmoved by Clinton's charge that Obama, because of his small-town comment, had shown he was out of touch with many Americans.
"She went to Yale, he went to Harvard," said Robinson, referring to the respective law schools from which they graduated.
The poll found Clinton leading Obama 46% to 41% in Pennsylvania -- a far cry from the double-digit margins she held in earlier polls.
In Indiana, where little polling has occurred, previous surveys gave Clinton the edge. The Times/Bloomberg poll put Obama ahead, 40% to 35%.
The leads in Pennsylvania and Indiana are within the poll's margin of sampling error.
In North Carolina, the poll found, Obama leads Clinton 47% to 34% -- a finding in keeping with expectations that he will do well in the state, which has a large African American population. Among blacks there, 71% supported Obama, 5% backed Clinton and 24% were undecided.