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Palin shrugged it off and said the "double standard" made her more determined to "work that much harder for the women in America to show them that that final, hard-as-glass ceiling must be broken."
Despite her feminist rhetoric, Palin's support among women voters has fallen to about 40 percent, according to recent polls.
When asked why women aren't rallying to her, Palin said, "I don't look at polls, so I would not be able to answer that.
"But you have to consider that there has been the constant barrage, a kind of spin on the my record or my positions," Palin said. "Perhaps it would change someone's perception."
Undaunted, she vowed, "I'm not going to let the women of America down,"
Palin was equally at a loss to explain why people, including several prominent Republicans, such as former Secretary of State Colin Powell, claim she is unqualified to be vice president.
"I don't know," she said. "But there have been many underestimated persons who've been elected to office, and have really been then, provided the opportunity to prove the pundits wrong."
Palin was unapologetic about her attacks on Obama and his relationship to 1960s radical Bill Ayers, and Wednesday she linked Obama to Rashid Khalidi, a Columbia University professor and former PLO associate. Palin has also accused the Democrat of promoting socialism.
Vargas asked Palin if she continued to refer to Obama's relationships in order to suggest he was "un-American," an historically loaded term.
Palin said she was not calling Obama "un-American" but was calling attention to his record.
"[I'm] not calling him un-American. There is nothing wrong, though, with calling someone out on their record, their associations," she said. "The association issue here, it's not mean-spirited. It's not negative campaigning. It's important and fair to the electorate."