Picture of my pallet fence. This is one we are in the process of working on, enclosing about 1/2 an acre total. They are currently in a smaller pallet fence area now. I do have hot wire up, but it is for the dogs not the goats. None of my goats have ever jumped this including a buck I had that was 1/2 Oberhasli and 1/2 Pygmy. His picture is below. He was much taller than my Dwarf Nigerians. don't have a clue as to why, but they just don't try to jump this.
I have to add - when I told my father in law I was buying goats he laughed. I asked him what was so funny. He replied "when you can keep water in a fence, you'll keep goats in a fence".
I've heard from local goat farmers that bottle fed are horrible about this, and also ones that have been kept as a "pet" not in a fence are horrible. We had one given to us (he is no longer ours bc of this problem). He was a "pet" where he came from. He wouldn't even stay in our electric fence. But the 2 we have now came from a farm that they were raised as babies in a fence and NOT bottle fed. Knock on wood, they are 6 months old and never once attempted to get out.
I use stock panels, and once I started breeding, and getting kids, they would slip through the holes, so I went a bought A LOT if chicken wire, and lined the bottom of the pen. My bucks are ruff on that stuff when they are in that pen, so I have to fix spots if the fence every so often.