when a patient is in the hospital for a week or more will the rent for their room at living quarters still be paid?

Yes

Have they been paying it before you went in the hospital then yes they will pay it

Yes......the rent will be paid because the patient went to the hospital but someone have to let the payee service know that he or she went to the hospital so they will pay the rent and he or she have a place to go. But if he or she don't tell them nothing they won't pay the rent