as i say, there is nothing to do with the alt or battery, but you may want to check to make sure
the car starts fine proving battery is good. Is the radio on when engine is not running? if yes, next step is to check the alternator. if no, nothing to do with it logically.
if the battery is fine, then how come the alternator is bad? bad alternator wont provide charge current to battery, battery can not be good