(CNN) Americans generally want more women in politics, in part because they say women will govern differently, but they also see obstacles for women reaching office, according to a new Pew poll.

In the new study conducted by Pew Research , two-thirds of people believe it's easier for men to be elected for high political office than women (5%). A little over a quarter say there's no difference. Men are more likely to say there's no difference in the difficulty of being elected (33%) than women (23%).

Women are also significantly more likely to say there are too few women in politics today, with 69% who say so, compared to 48% of men who agree. Only a third of Republicans think there are too few women in politics while 79% of Democrats say so.

The most common reason cited for why there are fewer women in high political offices than men is that "women who run for office have to do more to prove themselves than men," with 61% of people overall who say it's a major reason for fewer women, 72% of women who agree, and 48% of men.

The second most cited reason among both men and women is that women get less support from their party leaders, with 43% of men and 61% of women who feel that way.

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