You must obey your parents in all non-spiritual matters. If they tell you to work hard, clean the floor, helping cleaning in the kitchen, whatever it is in the house, even if you're tired, get up and do it. That's obedience. That will win their hearts.
But, if it's an area where they tell you to worship idols, then you say, "No, sorry." Your parents are not the ultimate authority. They are your authority, but above them is God, so you have to say, "Dear Dad and Mom, God tells me not to worship idols. I can't do it."