I get the newspaper even though I have computer access. There is nothing like holding something in your hands and turning pages. Also, you can read a newspaper anywhere. For example, in the bathroom, if you want. You aren't likely to take the computer in there. It's easier to cut out an article for later use. I like the portability of the newspaper, I can tuck it under my arm, sling it in my car and read it later. I don't have to wait for a computer to boot up.
The other thing to consider is that not everyone has computer access in this day and age!