Ladies, Do You Really Mean It When Offering to Cover Half?

When you offer to split the bill on a date, is it a genuine gesture or more of a test/hope that the guy will insist on covering everything?

EDIT:

Should the guy, at the end of the meal, politely ask if he can cover the tab? For those of you who insist on covering your half or even picking up the entire tab, how do you feel about it? Does it come across as genuinely considerate, or does it feel like a subtle power play?