To get the area:
If you can fit an equation to the ROC curve, its as easy as integrating over the curve. From the reference you gave us, if you look at the first ROC curve graphed, it looks like there are just five lines connected together. So to get the area there, you would just do five integrations over the 5 lines.
The reference you cited lists a standard error an CI for the ROC graph it lists. I'm tempted to tell you just to bootstrap the results and use the standard errors from it. However, doing a quick search, I came across a formula for you: http://www.anaesthetist.com/mnm/stats/roc/Findex.htm
I guess you could use a null hypothesis of having an area of 0.5. Since almost everytime, your curve will be above 0.5, you could be more liberal and use a one sided test (thought I'd recommend against it). You want to remember that the p-value and CI will be very similar in their results though. Almost everytime you see a p-value that is significant, you'll see a CI that crosses the null value.