What is the test for determining whether a peremptory challenge is on the basis of race?

Batson anticipates a three-step process for determining whether a peremptory challenge is made on the basis of race. See Purkett v. Elem, 514 U.S. 765, 767, 115 S.Ct. 1769, 1770-71, 131 L.Ed.2d 834 (1995). First, the opponent of the strike must establish a prima facie case of racial discrimination. See id. at 767, 115 S.Ct. at 1770. Next, the prosecutor, or defense counsel, must come forward with a race-neutral explanation of the challenge. See id. Finally, if a race-neutral explanation is made, the judge must decide whether the opponent of the strike has proved purposeful racial discrimination. See id. at 767, 115 S.Ct. at 1771.