Final answer:
Courts review an agency's interpretation of a statute through judicial review and judicial interpretation.
Step-by-step explanation:
Judicial review is the power of the courts to overturn laws or actions of Congress and the Executive Branch based on their constitutionality. When it comes to reviewing an agency's interpretation of a statute, the courts apply the principle of judicial interpretation. In this process, the courts analyze whether the agency's interpretation is in line with the intent and language of the statute.
For example, let's say an agency interprets a statute to mean that only individuals with a specific qualification are eligible for a certain benefit. If the courts find that the agency's interpretation goes against the clear language and purpose of the statute, they may review and potentially overturn that interpretation.