What are the implications of the Sixth Amendment right to a jury trial?

"The Sixth Amendment right to a jury trial guarantees to the criminally accused a fair trial by a panel of impartial, indifferent jurors." Tinsley v. Borg, 895 F.2d 520, 523 (9th Cir.1990), cert. denied, 498 U.S. 1091 (1991). "The remedy for allegations of juror partiality is a post-trial hearing in which the defendant has the opportunity to prove bias". Id. at 524. "When such a post-trial hearing is held, the state court's findings are entitled to a presumption of correctness on federal habeas corpus review." Id.