Final answer:
Toileting a patient on a bladder-training regimen is an appropriate task to delegate to a nursing assistant, as it is within their scope of practice and does not require the clinical judgment reserved for licensed nurses.
Step-by-step explanation:
An appropriate task for the nurse to delegate to a nursing assistant is toileting a patient on a bladder-training regimen. Nursing assistants are trained to assist with activities of daily living, which includes helping patients with toileting needs. Tasks such as checking a healthcare provider's new prescriptions and changing a patient's wound dressing require a higher level of clinical judgment and skill, which is typically within the scope of practice for a licensed nurse rather than a nursing assistant. Meanwhile, taking the blood pressure of a patient who has fallen may involve evaluating the patient for potential injuries and making clinical decisions based on the findings, which would also fall under the purview of a nurse or doctor.