Final answer:
The Great Society aimed to eliminate poverty and racial injustice and achieved significant reductions in poverty, but African American urban neighborhoods continued to face underlying economic and social challenges.
Step-by-step explanation:
The correct statement about President Lyndon Johnson's Great Society program is that it reduced poverty, but African American urban neighborhoods were still struggling with issues of economic hardships and violence. The Great Society was a series of domestic programs in the United States launched by Democratic President Lyndon B. Johnson to eliminate poverty and racial injustice. Despite its many advancements, such as the introduction of Medicare and Medicaid, the expansion of Social Security benefits, and increased federal funding for education, the initiative did not fully resolve the wealth disparity or the struggles faced by African American urban neighborhoods — though the percentage of African Americans living in poverty did decrease significantly.