Karen believes that the tv is controlling her thoughts by sending cable signals to her brain while she is sleeping, illustrating a symptom of schizophrenia. karl believes that he is the current president of the united states and that the real president is an imposter, illustrating a symptom of schizophrenia

Karen illustrating a "hallucination symptom of schizophrenia".
Karl illustrating a "delusion symptom of schizophrenia."

Hallucinations are false observations, errors that influence our faculties and make us hear, see, taste, touch or notice what others don't. In the intense periods of schizophrenia, patients are probably going to demand they are hearing voices that nobody else can hear. 
Delusional disorder, is a kind of genuine psychological maladjustment called a "psychosis" in which a man can't tell what is genuine from what is envisioned. The fundamental element of this issue is the nearness of fancies, relentless convictions in something false or not founded on reality.