Anarchism

Basically, my question involves to what extent I should obey my parents as an anarchist. I'm breaking their trust right now by writing this. Basically, in a long series of events that's lasted my entire life, they've come to think that I'm obsessed with going on the computer, and recently with computer privacy and security. They only let me on the computer for school related purposes. Should I do what they say? I feel an anarchist might have a different answer about this. I feel like we've just been getting along so well lately, and we would all cry if they found out I broke their trust, but, on the other hand, child liberation? I'm really confused.