Final answer:
The best change strategy for the hospital administrators is the normative-reeducative strategy, which focuses on creating a shared understanding and commitment to the change.
Step-by-step explanation:
The change strategy that would likely be best for the hospital administrators' endeavor to allow nurses to choose their own workdays based on seniority is the normative-reeducative strategy. This strategy focuses on creating a shared understanding and commitment to the change among the nurses. It involves providing education and training to the nurses about the benefits of the new system and involving them in the decision-making process. By emphasizing the shared interests and rewards of the change, the normative-reeducative strategy can help motivate the nurses to embrace the new scheduling system.