Hope is linked to the phrase, "I'll try." Faith is active in the phrase, "I will.", which is directly linked to will power - meaning the power of will. (Not Bill, necessarily...smile)
Faith is the active participant. Which also brings to mind active, action, to act. That is the backbone of faith. (Need I remind one that hope is a wishbone?)
"One is never given a wish without also being given the power to make it come true" ~unknown author. Ah..there's that power thing again...hmmm.