Final answer:
The statement is false; it was President Kennedy, not Eisenhower, who was convinced by the events in Birmingham that a new civil rights act was needed to address racial violence and injustice.
Step-by-step explanation:
The statement that the march on Birmingham convinced President Eisenhower that only a new civil rights act could end racial violence is false. It was President John F. Kennedy who, influenced by the Civil Rights Movement and the events in Birmingham, came to believe that new legislation was necessary to end racial injustice. After witnessing the events in Birmingham, where demonstrators, including children, were met with extreme violence, Kennedy was spurred into action, leading to a nationally televised address where he urged for the passage of a new civil rights act.