Robin expressed precisely :
Volt sticks can vary in quality, Fluke sells one of the better ones. If there are multiple live wires around it is possible your test wire might show as being live - the simple solution is to shield the stick from all but the wire you are interested in with your fingers. The validity then needs to be crossed checked with something which actually draws some current from the source. A test lamp works well for this.
I have never known a Fluke show a circuit as being dead, when it is live, but the stick should always be tested before use. One test is to rub the tip of the stick up and down your arm, whereupon it should light up. They are absolutely great for non-invasive tests, but only if you are practised in using one.