Final answer:
An After-action report would be the most informative document to evaluate the organization's risk controls following an accident in the manufacturing department, as it provides a comprehensive review and suggests improvements for risk management.
Step-by-step explanation:
To evaluate the effectiveness of the organization's risk controls following an accident in the manufacturing department, the most informative document would be the After-action report. This report typically includes a comprehensive review of what occurred, what was supposed to occur, and the performance of the risk controls during the incident. It also suggests improvements for future risk management. On the other hand, a Compliance audit is generally used to ensure that an organization is following laws and regulations before an incident occurs, and an Occupational health and safety checklist is a tool used to identify potential hazards regularly, potentially before they result in an incident. An External agency incident report could be useful, especially if the accident is serious enough to warrant an investigation by an organization like OSHA; however, it would be more focused on compliance with external regulations rather than the organization's internal controls. Therefore, the After-action report would provide the best data for understanding and improving current risk management practices in the context of the specific accident.