Which statement is NOT true regarding the first officer's responsibility in emergencies?

The statement that is not true regarding the first officer's responsibility in emergencies is that the first officer is to lead all evacuation procedures. While the first officer plays a critical role during emergencies, their responsibilities typically involve assisting the captain and managing specific tasks, rather than taking charge of evacuations entirely. The captain is usually the one who leads and directs evacuation procedures, making crucial decisions about the safest way to evacuate passengers and crew.

In contrast, the other options highlight responsibilities that align with the first officer's role. They are indeed responsible for cross-checking emergency equipment to ensure everything is in working order, respond to passenger emergencies by assisting the captain, and help manage cockpit operations during instances of emergency. Each of these tasks is crucial for maintaining safety and coordination in emergency situations.