As South Korea enters a super-aged society, the number of nursing hospitals has increased rapidly, yet there are no legal staffing standards for caregivers. This absence creates a severe vulnerability regarding evacuation safety during fires. This study quantitatively analyzes evacuation times using a simulation, applying a '3:1 patient-to-caregiver ratio' based on Japanese standards. Four scenarios combining Day/Night shifts and Existing/Proposed (3:1) staffing were compared using a real hospital model. The results indicate that applying the 3:1 standard reduced the total evacuation time by 41% (1210s → 710s) during the day and 22% (1290s → 1000s) at night compared to existing staffing levels. This empirically demonstrates that the patient-to-caregiver ratio is a key variable in evacuation performance and suggests an urgent need for legal minimum staffing standards to ensure patient safety.