President Obama holds a 1-point national lead in a poll released Tuesday night from CBS News and the New York Times. Obama gets 48 percent to Republican candidate Mitt Romney's 47 percent of likely voters. That tiny advantage seems to come from a slightly larger Obama edge with women -- he gets 52 percent of women voters to Romney's 44 percent, and Romney gets 51 percent of men voters to Obama's 44 percent. From CBSNews.com:

As has been the case throughout this campaign, Mr. Obama continues to have an advantage over Romney on empathy: Nearly six in 10 likely voters say he understands the needs and problems of people like them, compared with 49 percent who say so about Romney. The president enjoys an even larger advantage (66 percent to Romney's 46 percent) when asked specifically about the needs of women in the workforce. However, more voters think Romney has strong qualities of leadership (67 percent) than say that about the president (59 percent).

Some voters, however, perceive Romney as pandering to voters. Fifty-four percent of likely voters say Romney says what people want to hear, while 42 percent thinks he says what he believes. Views of the president on this characteristic are more closely divided.

The PollTracker Average of all public polling shows a dead heat nationally: