They don't want people on the jury who have connections or experiences with the crime at hand. For example if it is a drunk driving case they don't want alcoholics on the jury.
Since you don't know the nature of the case it's best to cover all the bases. You've got an alcoholic father who abused your drug dealing mother because she always made too much noise after the noise ordinance time and he stole her car and did a hit and run on a minor who was raping a black person because Mexicans are inferior yadayadayada etc..
now blatantly lying can get you in trouble as well so invent a trashy family background but keep it realistic.