Final answer:
The statement is false as historical evidence shows that concerns over insufficient volunteer enlistment and the need to keep skilled workers on the home front led to the implementation of conscription laws.
Step-by-step explanation:
The statement about President Franklin D. Roosevelt (FDR) determining that no conscription law would be necessary following the fall of France is false. Available historical evidence indicates that the U.S. faced insufficient volunteer enlistment leading up to and during the early part of World War I. The concern was that volunteerism would not adequately increase the size of the military or ensure that men with vital industrial skills would remain on the home front where they were most needed. This led to the implementation of the draft, as seen in actions taken by Sir Robert Borden in Canada and by various provisions in the United States.