facts of the case

A Michigan state court convicted Van Chester Thompkins of first-degree murder, assault with intent to commit murder, and several firearms related charges. After exhausting his remedies in Michigan state court, Thompkins petitioned for habeas corpus relief in a Michigan federal district court. The district court denied the petition.

On appeal, Thompkins argued that his confession was obtained in violation of the Fifth Amendment and that he was denied effective counsel at trial. The Sixth Circuit held that the Michigan Supreme Court's finding that Thompkins waived his Fifth Amendment right was unreasonable because Thompkins refused to sign an acknowledgement that he had been informed of hisMirandarights and rarely made eye contact with the officer throughout the three hour interview. The Sixth Circuit also held that the Michigan Supreme Court improperly determined that Thompkins was not prejudiced by his counsel's failure to request a limiting instruction related to his separately tried co-defendant's testimony.

in the favor of the majority's decision in the case. is it true the the detectives did not violate Thompkins' Miranda rights. or did?