Which amendment process requires a two-thirds vote from both houses of Congress?

The proposed amendment method is indeed the correct choice because it specifically refers to the process outlined in Article V of the U.S. Constitution for amending the Constitution. According to this article, an amendment can be proposed either by a two-thirds vote in both the House of Representatives and the Senate or by a constitutional convention called for by two-thirds of the state legislatures. The emphasis on a two-thirds vote from both houses underscores the need for a significant consensus among federal lawmakers before any changes to the foundational legal document can occur, ensuring that amendments are carefully considered and widely supported.

Other components related to amendments, such as the ratification process, involve approval from three-fourths of the state legislatures or state conventions but do not require a two-thirds vote from Congress. Judicial review pertains to the power of courts to interpret the constitutionality of laws rather than to the amendment process. The constitutional convention method, while it also does not require a two-thirds vote from Congress for its initiation, represents a different avenue for proposing amendments, one that has not been used in American history.