hi i have a question on setting the image size.

is setting the image size to full size better than selecting a smaller size? normally i only use my images at 2mp size max so shooting at 12mp from my camera (g9) is a bit too much. however am i subjecting my images to noise because of this? is it better so shoot full size then resize?

also the reason why i asked this is because it is known that fuji uses smaller MP to improve on high ISO noise. can this apply also on using smaller image size on a high MP camera or none at all?

thanks in advance