digestive system - Is it the sphincter that flexes when a human pushes a bowel movement?

Of course the sphincter muscle is at the exit point. To use a toothpaste tube analogy, if I want to squeeze out some toothpaste, it does me little to no good to jostle the nozzle; I need to squeeze the tube (which is analogous to the colon) to get the paste (payload) to come out.

So when a human is sitting on the toilet squeezing, is that squeezing flexing of the sphincter, or squeezing muscles along the sides of the colon pushing on it as one's fingers push on the tube to get toothpaste to come out.

If it's the sphincter that's getting flexed, how is that helping get a big log out?