I know that a STAB bonus applies to type-based damage done by a Pokemon of the same type, ex. a Water type Pokemon deals more damage with Water type moves.
However, do STAB bonuses affect the chance to inflict a negative status effect? Let's say a Fire type Pokemon knows Ember, which can cause the Burn status effect. Is this chance increased by the attacking Pokemon being a Fire type?
Furthermore, if a Pokemon is weak to Fire, is there a greater chance of the Burn status effect being inflicted?