Trump and Carson tied in Iowa, poll shows

Presidential candidates Donald TrumpDonald John Trump2020 Democrats spar over socialism ahead of first debate Senate passes .5 billion border bill, setting up fight with House 'Teflon Don' avoids the scorn of the 'family values' GOP — again MORE and Ben CarsonBenjamin (Ben) Solomon CarsonMellman: Are primary debates different? The Hill's 12:30 Report: Trump targets Iran with new sanctions Gillibrand introduces bill blocking HUD rule on undocumented public housing residents MORE are tied atop the GOP field in Iowa, according to a new CBS News poll released on Sunday’s "Face the Nation."

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Trump and Carson are at 27 percent in the CBS News 2016 "Battleground Tracker," followed by Sen. Ted Cruz (R-Texas), who's in third place with 12 percent.

Two recent polls had found Carson in the top spot among Republicans in Iowa.

The poll also found that not only is former Florida Gov. Jeb Bush trailing at 6 percent, more than half of Republicans said they would be dissatisfied if he were the party's nominee. Though Trump is ahead of his competitors, the CBS poll found the majority of those supporting other candidates in Iowa would not be satisfied if he wins the GOP nomination.

Meanwhile, Hillary Clinton has made strides in the Hawkeye State following the first Democratic debate, now holding a 3 point lead over Vermont Senator Bernie Sanders.

Clinton's supporters picked her experience as a main reason they are backing her for the nomination in the CBS poll.

The poll showed Sanders's supporters are backing him for his policies on income inequality.