How to construct a bow and arrows using only primitive stone tools

I've been avidly watching these Primitive Technology videos. The fellow who makes the videos lives in "Far North Queensland, Australia," and so far has made a hut with a kiln-fired tiled roof, underfloor heating and mud pile walls, baskets, a stone hatchet, charcoal, and a sling using only his hands on primitive stone tools. In his latest video, he builds a bow and some arrows.

He stresses that doing these things is a hobby for him, not a way of life. From his FAQ:

Primitive technology is a hobby where you make things in the wild completely from scratch using no modern tools or materials. This is the strict rule. If you want a fire- use fire sticks, an axe- pick up a stone and shape it, a hut- build one from trees, mud, rocks etc. The challenge is seeing how far you can go without modern technology. If this hobby interests you then this blog might be what you are looking for.

Also It should be noted that I don't live in the wild but just practice this as a hobby. I live in a modern house and eat modern food. I just like to see how people in ancient times built and made things. It is a good hobby that keeps you fit and doesn't cost anything apart from time and effort.