Steve

There is a visible difference between 72 and 96 dpi for digital design or Web design purposes, but it is about the software instead of the hardware as the people here has wrote.

More dots per inch means more resolution when the software renders an image (When converting curves into blocks of squares). To see it clear, you can use a software that handles vector images with bitmaps, an image rendered with 96 dpi will have better quality, to see it you just have to make a zoom and see the anti-aliasing. Some Windows programs has rendering machines that creates the quality as using 96 dpi even when you could be working with 72. I think most do it right now.

The dpi is used also to define the canvas size, weight of lines and the way that bitmaps are showed when you work with them.

In resume, verify if the software you use renders vector to bitmaps and if there are differences between 72 and 96, also what density is easier for you to work, then you will have your own answer.