Final answer:
The statement associating the New Deal with President Truman and the Great Society Legislation with President Nixon is false. The New Deal was implemented by FDR in the 1930s, and the Great Society was the work of President Lyndon B. Johnson in the 1960s. President Truman did promote the Fair Deal, but it was not the New Deal.
Step-by-step explanation:
The assertion that the New Deal programs of the 1930s are associated with President Truman is false. The New Deal was actually the work of President Franklin D. Roosevelt (FDR), who was elected during the Great Depression and initiated the programs to provide economic relief and recovery. The goal was to address the unemployment and desperate economic conditions of the time through a variety of governmental initiatives.
Similarly, the claim that the Great Society Legislation of the 1960s is typically associated with President Nixon is also false. These programs were the signature achievements of President Lyndon B. Johnson, who aimed to eliminate poverty and racial injustice. They included sweeping social welfare and civil rights programs that fostered lasting changes in government and society.
President Truman did, however, contribute to the legacy of social reform through his Fair Deal programs, which sought to extend the New Deal and aimed at raising the minimum wage, expanding Social Security, and other social reforms. While many of his proposals faced opposition and did not pass, he did succeed in some areas such as public housing and desegregation of the military.