I myself am not a christian, but I once was, so I'm only putting my two sense in if you will allow me.
When I think of hypocirt I think of some one who goes to church, carries around a bible, wears their big gaudy crosses and tells everyone the will go to hell for such and such a reason, but only does so to make themselves look better, and does not actually follow the words they preach to others.
I look at those people walking about with the ashes upon their foreheads and then I look into their eyes. The ashes are but a symbol of their religion, burned from the palms the same as those that ushered Jesus into [can't remember the city] welcoming him. That symbol does not mean anything though if the person does not beleive in it, have faith in it, their God, and themselves. If they see it simply as a symbol of their righteousness, then that symbol might as well be nothing what so ever.
So as to privately or publicly worshiping, showing ones faith. I think, and this is only my interpration as an outsider, that it refers to keeping your worship true to yourself and God, but that is just me.