If the rock isn't very basic (i.e. lots of limestone/calcium), then the vinegar test isn't the easiest to see. Vinegar's acid is acetic acid, which is a very weak acid. That is, it doesn't disassociate very easily, so it won't react with bases very easily.
I suggest you use the bottles that come with a nitrate test. The first bottle is around 40% hydrochloric acid -- a very strong acid. HCl will definitely react with any basic minerals on the rock.
All that said, Colin's brought up some very good points. Even if it is basic, if it is only a little basic, it won't have that large of an effect. In fact, if your water is already basic and hard, you probably could put a lot of basic rocks in your tank with no effect. So, what are your current water stats? And in a related note, what fish are you planning on/are keeping? Many of the species in the hobby are very tolerant of a wide range of waters, and a little hardness and alkalinity isn't going to hurt very many of the commonly available fish.