Polling suggests that most Americans would support the plan President Obama announced Tuesday to keep some United States forces in Afghanistan for a period even as he withdraws most combat troops.

In an ABC News/Washington Post poll conducted in December, the public favored, by 55 to 41 percent, keeping some troops in Afghanistan for training and anti-insurgency operations, rather than removing all forces from Afghanistan in the year ahead.

That’s not to say that Americans think the war has been worthwhile. In the same poll, 66 percent said that considering its costs to the United States versus its benefits, it has not been worth fighting; 50 percent said they feel that way strongly. Of the 30 percent who think the war has been worth fighting, a large majority, 76 percent, favor keeping some American forces there, as do nearly half of those who think it hasn’t.