According to the majority of Americans, women are every bit as capable of being good political leaders as men. The same can be said of their ability to dominate the corporate boardroom. And according to a new Pew Research Center survey on women and leadership, most Americans find women indistinguishable from men on key leadership traits such as intelligence and capacity for innovation, with many saying they’re stronger than men in terms of being compassionate and organized leaders.

So why, then, are women in short supply at the top of government and business in the United States? According to the public, at least, it’s not that they lack toughness, management chops or proper skill sets.

It’s also not all about work-life balance. While economic research and previous survey findings have shown that career interruptions related to motherhood may make it harder for women to advance in their careers and compete for top executive jobs, relatively few adults in the new Pew Research survey point to this as a key barrier for women seeking leadership roles.Only about one in-five say women’s family responsibilities are a major reason there aren’t more females in top leadership positions in business and politics.

Instead, topping the list of reasons, about four-in-ten Americans point to a double standard for women seeking to climb to the highest levels of either politics or business, where they have to do more than their male counterparts to prove themselves. Similar shares say the electorate and corporate America are just not ready to put more women in top leadership positions. 

As a result, the public is divided about whether, even in the face of the major advances women have made in the workplace, the imbalance in corporate America will change in the foreseeable future. About half (53%) believe men will continue to hold more top executive positions in business in the future; 44% say it is only a matter of time before as many women are in top executive positions as men. Americans are less doubtful when it comes to politics: 73% expect to see a female president in their lifetime.

These findings are based on a new Pew Research Center survey of 1,835 randomly selected adults conducted online Nov. 12-21, 2014. The survey also finds that the public is divided over whether a woman with leadership aspirations is better off having children early on in her career (36%) or waiting until she is well established (40%). About one-in-five (22%) say the best option would be to not have children at all.