Christie Hopes to Show G.O.P. He Has Diverse Support The question in the governor's race in New Jersey on Tuesday is not who will win, but by how much, and where? Barbara Buono, a Democratic state senator running for governor of New Jersey, took questions from reporters on Monday after speaking at an annual Democratic pre-election breakfast in Lyndhurst. For months, polls have shown the Republican incumbent, Chris Christie, running far ahead of his Democratic challenger, State Senator Barbara Buono; the most recent show him winning by 18 to 33 points. Governor Christie, a surprise winner four years ago, is now almost an assured presidential contender. And he is hoping to show national Republicans that he is the candidate who can win big not only in a blue state, but also among constituencies Republicans have struggled to attract, particularly blacks and Hispanics. "I need you tomorrow night," he told a crowd in Hillside, a working-class town near Newark, campaigning alongside Gov. Susana Martinez of New Mexico, a Republican and the first Hispanic woman elected governor in the country. I need you badly. He planned to close out election eve with a rally in Union City, which has the highest percentage of Hispanics in the state. And in recent weeks he has been campaigning aggressively in Essex County, which includes Newark and its large black population. Ms. Buono, a former Senate majority leader, has from the start had low name recognition, and as a result she had to struggle to raise money to produce ads that might raise her profile. To avoid a blowout, she is hoping for high turnout among Democrats, who outnumber Republicans by 400,000 among New Jersey's registered voters. But the state party apparatus has done little to help her. Mr. Christie has actively courted endorsements from Democrats, and about 50 mayors and municipal council members have signed on with him. Brian Stack, the Democratic mayor and state senator from Union City, and one of Mr. Christie's biggest supporters, sent out a flier in recent days with what it called a "sample" ballot encouraging residents to vote for Mr. Christie and local Democrats. The Democratic column for governor was left blank, as if Ms. Buono - or anyone else - were not running. Turnout is expected to be low, not least because New Jersey voters went to the polls less than three weeks ago, to elect a United States senator to replace Frank R. Lautenberg, a Democrat who died in June. Mr. Christie chose to have the election on a Wednesday in October - spending an extra $12 million - rather than appear on the ballot at the same time as Cory A. Booker, a popular Democrat who was running for, and ultimately won, the Senate seat. Voters will also choose all 120 seats in the State Legislature. Republicans have been hoping to ride Mr. Christie's coattails to take a majority. But polls have shown this is unlikely to be the case, and Mr. Christie has campaigned relatively little for legislative candidates.