ORLANDO, Fla. -

A new CBS News/Quinnipiac University poll found support for President Obama has increased in Florida following each political party's convention.

According to the poll, 53 percent of Florida voters support the president while 44 percent support Republican candidate Mitt Romney.

Prior to the Republican and Democratic National Conventions, the president only held a three-point lead in Florida.

[Related: Full poll results]

The poll also found the race is closer among voters who say they are paying close attention to the campaign. President Obama holds a four-point lead among those voters engaged in the campaign.

Researchers also asked about the candidates' policies and how they would affect Americans. The poll found 56-percent of Florida voters believe Romney's policies would favor the rich. Fifty-seven percent of Florida voters believe the president "cares about [their] needs and problems" while 41 percent believe Romney cares.