Option (A): Outlying airfields would be as convenient as centrally located airports for most pilots of private planes.
Negation: Outlying airfields would not be as convenient as centrally located airports for most pilots of private planes.
If outlying airfields are not convenient for most pilots, then equipping planes with radar may not actually force them to switch to those airfields. This breaks the reasoning of the argument. Hence, this assumption is necessary for the conclusion to hold.
Option (B): Most outlying airfields are not equipped to handle commercial-airline traffic.
Negation: Most outlying airfields are equipped to handle commercial-airline traffic.
This doesn't really affect the reasoning about private-plane traffic being forced to use outlying airfields, so it doesn't break the argument.
Option (C): Most private planes that use centrally located airports are not equipped with radar.
Negation: Most private planes that use centrally located airports are equipped with radar.
If most private planes are already equipped with radar, then equipping more planes wouldn't force them to use outlying airfields, but the conclusion focuses on the impact of future radar-equipped planes, so this negation doesn't break the argument.
Option (D): Commercial airliners are at greater risk of becoming involved in midair collisions than are private planes.
Negation: Commercial airliners are not at greater risk of midair collisions than private planes.
This is irrelevant to the argument because the focus is on reducing private-plane traffic and collision risks, not comparing risks between different types of planes.
Option (E): A reduction in the risk of midair collision would eventually lead to increases in commercial airline traffic.
Negation: A reduction in the risk of midair collision would not lead to increases in commercial airline traffic.
Whether commercial airline traffic increases or not does not impact the argument about forcing private planes to use outlying airfields.
Conclusion:
The correct answer is (A) because negating it breaks the argument, making it essential to the conclusion.