As the video mentions, women are often driven away from the career paths that would lead to higher salaries and it's worth asking why that happens. I think a lot of it is cultural and that culture is reaffirmed by the toy and entertainment industries. Go into any toy store and you'll see this:
It's known as the pink aisle. Most of the toys in it relate to two goals: getting a husband (by looking nice) and keeping a husband (by being a passive housewife). Young girls and the people buying for them are marketed towards products within the pink aisle. There are very few toys in this aisle that impart ideas about personal agency. Meanwhile, the boy's aisle (which has no dominant color) are all about changing the world through personal strength, intelligence, cunning, and charisma.
The entertainment industry is just as lopsided. this article compares Chris Pine's mediocre career versus Jennifer Lawrence [http://www.hollywoodreporter.com/news/study-screen-gender-inequality-persists-264947]). Movies and TV shows reinforce the idea of men being more important than women by presenting significantly more men on screen, in more important roles, with more personal agency, and more variety in their appearance. Women are generally cast as love interests to be used as props for titillation and as a trophy for the hero to earn as a reward at the end.
(While I don't think much study has been done in this field, anime fandom is overwhelmingly female and much of that comes from a total death of entertainment for teenage women. There is a much better ratio of male and female characters in active, important roles. Think about it: Japan, a very oppressive culture, has better gender representation in their entertainment than America.)
The problem here is that there isn't much of a direct solution without bringing out that dreaded bogeyman of censorship. Most of why there's such a disparity in film representation actually comes from the stunningly misogynistic culture of corporate Hollywood as opposed to actual statistics, but that isn't sustainable. There will come a point where investors start asking why Hollywood is ignoring perfectly good money and no amount of "conventional wisdom" will bail them out. In the meantime, everybody can help by talking with girls about the imagery around them, assuring them that they can go into any industry they like regardless what people tell them, supporting what entertainment with female characters currently exists, voicing their concern about gender representation in entertainment, and creating their own fiction with relevant, powerful female characters.