You don't say where your jurisdiction is, but I think you need to check your local laws.
Many designated cycle paths do not prohibit pedestrians from using them, and in many cases where pedestrians are allowed on the path, they will have priority.
You really need to check this for yourself, but don't be surprised if you find that pedestrians will have right of way over youcyclists, and if there waswere a collision then the cyclist might be presumed to be at fault.