They probably do. However, it doesn't show, because their performance isn't rewarded equally.
That's why I'd like to see studies comparing (women's performance)/(women's reward) to (men's performance)/(men's reward). If discrimination harm's women, the ratio should be higher for women.
I don't really trust opinion polls (except as a measure of opinion), particularly when they ask questions like "is your failure to get promoted/paid/etc caused by $YOUR_FAULT or $NOT_YOUR_FAULT?"
That's why I'd like to see studies comparing (women's performance)/(women's reward) to (men's performance)/(men's reward). If discrimination harm's women, the ratio should be higher for women.
I don't really trust opinion polls (except as a measure of opinion), particularly when they ask questions like "is your failure to get promoted/paid/etc caused by $YOUR_FAULT or $NOT_YOUR_FAULT?"