how did listening to the red guard effect ji-li

After class, the principal explains that the soldier, Comrade Li, selected Ji-li and three others to audition for the Central Liberation Army Arts Academy dance training class. Ji-li runs home to tell her family. Her family is not as thrilled as she is and suggests that she not do the audition. Her father says there will be a political background investigation of the family. He tells her that their family will not pass the investigation.