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Donald Trump’s popularity in New Hampshire seems to be seeping into Massachusetts, according to a new poll.

Thirty two percent of likely Republican primary voters in the state called Trump their first choice in the race for the GOP nomination for president, according to the survey by Suffolk University.

Eighteen percent picked Senator Marco Rubio in the poll. Senator Ted Cruz earned 10 percent, followed by former Florida governor Jeb Bush at 7 percent, retired neurosurgeon Ben Carson at 5 percent, and Governor Chris Christie of New Jersey and former Hewlett-Packard chief executive Carly Fiorina both at 4 percent.

No other GOP candidate drew significant support, and four of them — Senator Lindsey Graham of South Carolina, former Arkansas governor Mike Huckabee, former New York governor George Pataki, and former Pennsylvania senator Rick Santorum — failed to register any backing. Fourteen percent were undecided.

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Among respondents who had a first choice, 46 percent in Massachusetts said they would switch their top pick to former governor Mitt Romney if he were added to the list. Similarly, a poll of New Hampshire voters found they favored Romney by a 2-to-1 margin over Trump. Romney has said he is not planning another run, however.

The survey also found that Mass. voters are deeply split over Governor Charlie Baker’s resistance to accepting Syrian refugees in the state, with 47 percent backing the chief executive’s stance and 40 percent disagreeing with Baker. Thirteen percent were undecided.

The poll, conducted from Nov. 19 to Nov. 22 among 500 Massachusetts voters, carries a margin of error of plus or minus 4.4 percentage points.