Key ingredients to closing the gender gap in the entertainment industry: more female leaders, mentorship and opportunities for female directors and writers.

That's the upshot of CNBC and LinkedIn's survey of women in entertainment. An online survey conducted last month of 1,010 men and women in entertainment, the CNBC-LinkedIn study found that reports of sexual misconduct in the workplace have raised awareness of gender discrimination and the differences in how women and men are paid, promoted and given opportunities to succeed. The poll's margin of error is 3 percentage points.