Final answer:
The statement is false as the FAA does oversee air traffic control for all aircraft, including military, in civilian airspace, while coordination with the DoD is required for joint-use spaces.
Step-by-step explanation:
The statement that the Federal Aviation Administration (FAA) is not responsible for air navigation and air traffic control for military aircraft is false. The FAA is, in fact, primarily responsible for the regulation and oversight of all civil aviation within the United States, including air traffic control. While the FAA handles civilian air traffic, military aircraft are typically managed by the Department of Defense (DoD) and its specific branches (e.g., Air Force, Navy, Army). However, military aircraft do interact with the FAA-controlled air traffic system and must adhere to FAA regulations when flying in civil airspace. In cases of joint-use airspace, where military and civil operations are mixed, coordination between the FAA and military control facilities occurs.