Final answer:
President Theodore Roosevelt's Big Stick policy most affected Latin America through military intervention and the assertion of U.S. influence in the region.
Explanation:
Latin America was the region most affected by President Theodore Roosevelt's Big Stick policy. Roosevelt's approach focused on using military intervention and asserting the right of America to intervene in Latin American nations to maintain stability and protect U.S. interests in the hemisphere. This policy led to actions such as exerting control over Cuba and Puerto Rico, deploying naval forces to secure Panama's independence, and declaring the Roosevelt Corollary to the Monroe Doctrine.
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