You've got that wired up wrong, it may work but not very well. Tie the emitter of the NPN directly to ground, put the LED above it connected between your supply and the collector. The arrangement is called a low side switch.
It's best to think of base *current* rather than base voltage with a BJT, they are current driven rather than voltage driven as mosfets are. The B-E junction acts like a diode, so it has a forward drop of about 0.6V. Since your emitter is (supposed to be) connected directly to ground, you can treat that junction just like an LED when calculating the resistor. Look on the datasheet what the saturation current is and calculate for about that value, take your supply voltage, subtract 0.6V and then plug the resulting voltage and desired current into Ohms law and see what you get. Wild assed guess going from memory is 1k will probably work fine.