The spinal accessory nerve is usually tested by asking the patient to shrug their shoulders against resistance. It supplies the sternocleidomastoid and trapezius muscles. In the unconscious patient, testing the cough reflex - if a cough is elicited - will usually result in a vigorous activity of the trapezius and sternocleidomastoid muscles.
Obvious features
The "central" supranuclear lesions tend to cause mild and transient weakness, because the accessory nerve nuclei receive bilateral cortical input. Hemispheric lesions rarely cause a clinically important CN XI palsy.
Important localising feature:
The LITFL summary of cranial nerve lesions is without peer in terms of useful information density.
Walker, H. Kenneth, W. Dallas Hall, and J. Willis Hurst. "Clinical methods." 3rd edition.(1990). Chapter 64. Cranial Nerve XI: The Spinal Accessory Nerve- by Kenneth Walker