Final answer:
The best intervention demonstrating an understanding of challenges facing professional nurses regarding patient safety is establishing a system for reporting and analyzing near misses.
Step-by-step explanation:
The best intervention that demonstrates an understanding of the challenges facing professional nurses regarding patient safety is d) establishing a system for reporting and analyzing near misses. By implementing a system for reporting and analyzing near misses, the nursing administrator shows recognition of the importance of identifying and learning from mistakes. This intervention helps create a culture of safety and continuous improvement in patient care. Other interventions, such as implementing a new scheduling system or conducting a survey on workplace satisfaction, may be beneficial but do not specifically address patient safety challenges.