Despite consumer demand for a new way of leading, most are not yet entirely ready to put women in positions of power.

"When push comes to shove, women are not in leadership roles, and the genders tend to go to their own corners," said Dellarocca.

Although men outnumber women in key leadership roles despite the preference for management styles that people more strongly associate with women, women are outpacing men in earning college degrees, and a greater percentage of women are becoming the primary income earner in the household.

"It's important to connect with potential women financial advisors earlier by exposing girls to the profession when they are in high school and even junior high," Meredith-Carpeni said.

While conventional wisdom says that young people are more open to new ideas, the survey revealed that the older the individual, the greater the comfort with seeing women in leadership positions.

"Younger men have less experience seeing women in the workforce in leadership positions," Dellarocca said. "Older men have seen women in a variety of roles and in roles of increasing responsibility at work."

This pattern could be a result of millennial men perceiving their female counterparts as peers.

"It's not chauvinism. It's their reality. They are accustomed to being in competition with women and more comfortable competing with women," Weaver said. "They have a different lens on how they view women than previous generations."

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