Hi @SnowChickenFlake ,
The only thing I can think of (without actually seeing your .blend file) is, that your Origin is not exactly in the center of your Sphere.
The Sphere Collision is a sphere around the Origin of the Object (in this case a Sphere). The Convex Hull makes a sphere around the Sphere Mesh, no matter where the Origin is:
Man, this is hard to explain in words; this exaggerated image might help a bit (hopefully):

But this is just a guess, so if it’s not this, I would need to see your .blend. (Upload your file to Googledrive or dropbox or so and post a link here)