The statement that correctly analyzes the influence of the Cold War on the Vietnam War is:
A nation’s support for North Vietnam or South Vietnam was determined by its relationship to communism.
This is accurate because the Cold War was characterized by the struggle between communist and non-communist nations, and countries aligned themselves based on their ideological positions regarding communism. North Vietnam received support from the Soviet Union and China, while South Vietnam was supported by the United States and other anti-communist nations.