Sorry for the waffel below
arrghhh wall of text!! just wanted to put my findings on this subject to hopefuly help people make an informed choice.
The advantage RAW gives is with editing especialy exposure due to the dynamic range it captures I believe its up to 14 bit these days so thats trillions of colours and a whole lot more in the brightness levels it captures. All of these extra things you dont see in the original image as your eyes only see around 10 million colours, and our eyes work logarithmically (did I spell it right?? haha) so if light is quadrupled we see it doubled so there has to be a certain difference between tones before we notice them.
Whats all this about you say lol well in a JPEG the 8bit 16 million colours and 255/6 brightness levels are more than enough to display a picture its still all been processed from the same RAW data and is the same picture you took but with out the extras just the bits your eyes can pick up and a few extras threw in.
In a RAW file the extras come into play when pushing exposures this stops banding of colours and allows more colours in the pallet and the ability to change white balance can.
If you need that flexibility use RAW its another tool in digital photography thats there for our benefit, but it isnt a magic format that makes pictures look better.