* The question is asking which patient population is at the highest risk for falling.
* By analyzing the provided table, it can be observed that patients who had "falls prior to admission" have the highest number of falls after admission (30 patients) compared to other categories.
* This data indicates that having a history of falls before being admitted increases the risk of falling again.
* Although I don't have direct access to external websites including NAHQ, it's generally understood in healthcare quality and safety that ahistory of falls is a significant risk factor for future falls. This is likely supported by resources and documents on patient safety and fall prevention available on professional healthcare quality websites.

Project management tools are used to plan and track quality improvement initiatives. The tool that identifies both project deliverables and periods of simultaneous activities is one that visualizes tasks, timelines, and dependencies.
Option A (Pareto): A Pareto chart is a quality improvement tool that prioritizes issues based on their frequency or impact (80/20 rule). It does not track deliverables or timelines.
Option B (Gantt): A Gantt chart is a project management tool that displays tasks (deliverables) along a timeline, showing start/end dates and periods where activities occur simultaneously. It is widely used in quality improvement to plan and monitor project progress, making it the correct answer. NAHQ CPHQ study materials include Gantt charts as a tool for managing project schedules and deliverables.
Option C (PERT): A Program Evaluation and Review Technique (PERT) chart focuses on task dependencies and critical paths, emphasizing sequence and duration. While it shows relationships between tasks, it is less effective at visualizing simultaneous activities compared to a Gantt chart.
Option D (A3): An A3 report is a Lean tool for problem-solving and project documentation, summarizing goals, analysis, and actions on a single page. It does not specifically track deliverables or simultaneous activities over time.
Reference: NAHQ CPHQ Study Guide, Domain 4: Performance and Process Improvement, describes Gantt charts as tools for project management, identifying deliverables and timelines, including periods of concurrent activities.