Express Action Sports

I have a Pansonic Lumix DMC TZ4 digital camera.

On it, there are multiple scene modes. The two main ones I found for "motion" or "action" was the sports scene mode and the burst shooting mode. The sports scene mode seems to reduce blur from picture/object movement greatly (without any noticeable image quality reductions), while the burst shooting mode takes many many pictures very very fast, however, at slightly less image quality, and it’s pretty sensitive to movement as far as I’ve experienced

Now, what I’m wondering is which one to use to capture an action scene. Websites (like cnet.com) say that burst shooting is good to capture action scenes, but wouldn’t most of the pictures from burst mode come out blurred because of the action’s movements? And while you get the scene frame by frame, a lot of them [theoretically] would be blurred, and so it’s better to use the sports mode and get a couple clean pictures?

Comments? Objections? Anything that will help or …whatever. Thank you in advance!

Blurry shots are caused by one of two things. Camera shake or you moving and the subject moving. The best way to avoid this is to use a fast enough shutter speed. Generally for sports you will need to have a shutter speed of 1/250th of a second or faster. Image stabilization will help compensate for your movement but will do nothing about subject movement.
Now to your specific question. The sports mode on your camera basically is an automatic setting where the camera tries to get the fastest shutter speed it can. If the lighting is relatively bright the shutter speed will be fast enough to freeze action.

The burst mode on your camera should allow you to adjust the shutter speed and aperture. If it does just make sure you have a fast shutter speed and you will be succesful with it as well. If the shutter speed is below 1/250th you will get some blurry shots.