Final answer:
The claim regarding Kennedy's Alliance for Progress concerning China is false; this initiative was focused on Latin America, not China. Additionally, George W. Bush's foreign policy was not characterized by liberal internationalism.
Step-by-step explanation:
The statement that Kennedy proposed the Alliance for Progress to improve relations between the United States and China is false. The Alliance for Progress was initiated by President John F. Kennedy to establish economic cooperation and development, as well as social reform in Latin American countries. This initiative was part of the United States' effort to counter Soviet influence during the Cold War by encouraging countries in the Western Hemisphere to pursue democratic governance and economic stability rather than align with communist ideologies.
Regarding the foreign policy of President George W. Bush, the classification of him as a proponent of liberal internationalism is also false. President Bush's foreign policy was marked more by a unilateral approach, particularly with the invasion of Iraq in 2003.