(CNN) - African-American voter David McMillan of Los Angeles, California, wanted to know why, despite relatively conservative positions on many social issues, blacks tend not to vote for Republicans.
"We probably haven't done a good enough job of pointing out that our solutions, our philosophy, is really the philosophy that would be the most attractive to the overwhelming majority of people in the African-American and Hispanic community," former New York Mayor Rudy Giuliani responded.
"Whether they are upper-middle class, rich, middle class or poor, good education is something that everyone in all these communities - and all communities - want," he said. He went on to mention several of his proposed education reforms.
"... There are many, many issues on which we can reach out," he concluded.
Former Arkansas Gov. Mike Huckabee cited a CNN exit poll that said 48 percent of African-American voters had voted for him in an election in Arkansas.
"Here's the reason why: because I asked for their vote, and I didn't wait until October of the election year to do it," he said.
Huckabee said he worked at making his administration inclusive in appointments, employment and programs.
"Our party had better reach out, not just to African-Americans but to Hispanics and to all people of this country," he warned. "I don't want to be a part of a Republican Party that is a tiny, minute and ever-decreasing party, but one that touches every American from top to bottom regardless of race."
Four Republican candidates - Giuliani, Mitt Romney, Fred Thompson and Sen. John McCain - declined to participate in a September debate at historically black Morgan State University in Maryland. Huckabee said he was "embarrassed" for his party.
- CNN's Jim Kavanagh