Final answer:
The federal court case that established judicial review was Marbury v. Madison in 1803.
Step-by-step explanation:
The federal court case that established judicial review was Marbury v. Madison in 1803. In this case, Chief Justice John Marshall declared that the Supreme Court had the power to review the constitutionality of laws passed by Congress. This decision established the principle of judicial review, giving the Court the authority to overturn laws that were deemed unconstitutional.