As labor battles erupt in state capitals around the nation, a majority of Americans say they oppose efforts to weaken the collective bargaining rights of public employee unions and are also against cutting the pay or benefits of public workers to reduce state budget deficits, according to the latest New York Times/CBS News poll.

Labor unions are not exactly popular, though: A third of those surveyed viewed them favorably, a quarter viewed them unfavorably, and the rest said they were either undecided or had not heard enough about them. But the nationwide poll found that embattled public employee unions have the support of most Americans — and most independents — as they fight the efforts of newly elected Republican governors in Wisconsin and Ohio to weaken their bargaining powers, and the attempts of governors from both parties to cut their pay or benefits.