Poll: Clinton up in two battleground states
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Democratic presidential nominee Hillary ClintonHillary Diane Rodham ClintonProgressives rave over Harrison's start at DNC Hillary Clinton backs Manhattan DA candidate in first endorsement of year NSA leaker Reality Winner released from federal prison MORE leads Republican rival Donald TrumpDonald TrumpKushner lands book deal, slated for release in 2022 Biden moves to undo Trump trade legacy with EU deal Progressives rave over Harrison's start at DNC MORE in the battleground states of Florida and New Hampshire, according to a poll released Sunday morning.

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Clinton increased her lead to 5 points, 45 percent to 40 percent, in Florida in the new CBS News Battleground Tracker poll. In June, she led Trump by 3 points in the Sunshine State.

The poll found that Florida voters are more likely to think Trump doesn't have good judgment or temperament, but the majority of those surveyed in the state consider him the best candidate to "bring change."

Only 29 percent of Florida voters feel he has good judgment or temperament, while 71 percent said he does not. In addition, 54 percent of Florida voters think Trump's controversial comments are "irresponsible," while 21 percent think he is just joking and his remarks get blown out of proportion.

Meanwhile, 66 percent of Florida voters said Trump is the best candidate to bring change, while 37 percent said the same of Clinton. 

In New Hampshire, Clinton has a 9-point lead over Trump, 45 percent to 36 percent, according to the poll.  

Trump is losing to Clinton among women by a wide margin there. In New Hampshire, 51 percent of women support Clinton, while 29 percent support Trump. 

Pollsters also found Trump with just a 4-point lead, 45 percent to 41 percent, in Georgia, a typically red state.

The CBS poll surveyed 3,172 registered voters, with a margin of error of 3.6 percentage points in Florida and 4.3 percentage points in New Hampshire and Georgia. 

— This report was updated at 11:13 a.m.