Final answer:
The statement is false; Miranda v. Arizona requires police to inform suspects of their Miranda rights to protect against self-incrimination and ensure voluntary confessions.
Step-by-step explanation:
The statement that Miranda v. Arizona gave police officers the right to use discretion on whether to inform an offender of their constitutional rights is false. The landmark decision in Miranda v. Arizona requires that law enforcement officials must inform suspects of their rights prior to interrogation. These rights include the right to remain silent, that anything said can be used against them in court, the right to be represented by a lawyer, the right to a court-appointed lawyer if they cannot afford one, and the right to terminate questioning at any time. The purpose of these Miranda rights is to protect individuals from self-incrimination and coercion during police interrogations, ensuring that confessions are given voluntarily and with an understanding of one's legal rights.