(CNN) - Mitt Romney's support among registered voters who are women has grown and is slightly above President Barack Obama's, according to a poll released Monday.
The CBS News/New York Times poll shows Obama's support among female voters dropping five points over the last two months, from 49% to 44%. Romney is up 3 from 43% to 46% within that coveted demographic, according to the survey. The margin is still within the survey's sampling error, however.
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Prior polling, including a mid-April CNN/ORC International poll, showed Obama ahead among women, with the CNN survey giving the president a 16-point advantage. That survey took place in the wake of a Democratic strategist and CNN contributor saying Romney's wife had "never worked a day in her life."
Monday's numbers fall within the survey's sampling error of plus or minus four percentage points.
Respondents were also skeptical of Obama's recent announcement that he supports same-sex marriage. A majority - 67% - said they believe the president made the announcement because of "political reasons," with 86% of Republicans and 70% of independents holding that view. Among Democrats, 48% believed he was motivated by "what is right" and 42% cited politics.
Only 8% of Republicans, 20% of independents and 24% of respondents overall believed Obama was motivated by doing "what is right."
The survey showed 42% of respondents believed same-sex marriages should be legal, and 51% said they should not.
The telephone poll was conducted between May 11 and 13 and included 615 adults, 562 of them registered voters.
– CNN's Gregory Wallace contributed to this report