Nearly half (48 percent) of Americans view former Alaska Gov. Sarah Palin (R) unfavorably, according to a new poll released Thursday by CBS News, and fewer than one in four think she could serve effectively as president. 

Self-identified Tea Party-supporters are split on this question: 47 percent believe she could serve effectively, and 39 percent do not.

Palin has said she is entertaining the idea of a bid.

“If nobody else wanted to step up, I would offer myself up in the name of service to the public," she said Sept. 22 during an interview on Fox News. 

The CBS survey also examined attitudes toward the broader Tea Party movement, finding a majority (56 percent) are undecided or have not heard of it.

Among those who were familiar with it, nearly half said a candidate's affiliation with the movement would not affect their vote in an election. At the same time, 29 percent said such an affiliation would dissuade them from voting for the candidate, while 16 percent said it would make their support more likely.

The poll was conducted Oct. 1-5 and has a margin of error of 3 percentage points.