Story highlights In a new CNN/ORC/WMUR poll out Thursday, Vermont Sen. Bernie Sanders has 46% of the New Hampshire Democratic primary vote

Hillary Clinton has just 30%

(CNN) Hillary Clinton trails Vermont Sen. Bernie Sanders in the race for the Democratic nomination for president in New Hampshire, even if Vice President Joe Biden decides not to make a run for the White House, according to a new CNN/WMUR poll.

Sanders has the backing of nearly half of those who say they plan to vote in the first-in-the-nation Democratic primary next year -- 46% support him -- while just 30% say they back Clinton. Another 14% say they would support Biden, 2% former Maryland Gov. Martin O'Malley, 1% former Virginia Sen. Jim Webb, and less than half of 1% back former Rhode Island Gov. Lincoln Chafee or Harvard professor Lawrence Lessig.

Clinton trails Sanders across most demographic groups, with broad gender and ideology divides bolstering Sanders' run. He holds 56% of male Democratic voters compared with just 20% who back her, while the two are much closer among women, 39% back Sanders, 37% Clinton. Likewise, Sanders holds a 56% to 30% lead among liberals, versus a 37% to 31% race among moderates.

And opinions about the Democratic race have solidified more so than on the Republican side of the coin. More than half of Democrats now say they have made up their minds or are leaning toward someone, compared with 41% on the Republican side.

In most recent national polling, assessments of the Democratic race without Biden have boosted Clinton's standing well above that of Sanders, but in New Hampshire, Biden's backers aren't enough to push Clinton back to the top of the field. Though Clinton picks up more of Biden's supporters than Sanders when they are reallocated to their second choice, Sanders maintains control of the race, holding 49% to Clinton's 36%.

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