You are completely wrong.
Faith can refer to a religion, or to believe in one or more deities. It has two general implications which can be implied either exclusively or mutually:
To trust:
Believing a certain variable will act or has the potential to act a specific way despite the potential influence and probability of known or unknown change.
To have faith in ones spouse that he/she will keep a promise of commitment
To have faith that the world will someday be peaceful
To have faith in a person to pay you back
To have faith is to be full dependant on the Will of supernatural forces or deities.
To believe without reason:
Believing impulsively, or believing based upon social traditions or personal hopes
In either case, Faith is based upon the interpretation of the intangible (feelings, emotions, etc.) instead of the physically tangible and is primarily associated with religion in modern times.