To answer your question: the N-channel MOSFETs are usually operated with their drain more positive than the source, making the gate more positive than the source makes them more conductive drain-source, making the gate negative of the source makes them turn off. A small number are available as Depletion variety whereby they are already conductive when the gate is at zero volts (wrt to source) and so you actually need to drive the gate negative to get them off. The great majority of N-channel mosfets are Enhancement variety which are already fully off at zero gate volts. N-channel mosfets are conceptually a little bit like NPN bipolar transistors (overlooking massive things like gates having no base current, poorly defined turn-on voltage etc etc etc). N-channel mosfets are available in the largest range right up to high voltages.
P-channel mosfets are exactly the opposite, the drain is usually operated negative of the source, driving the gate negative of the source makes them conductive, at zero or positive gate volts (wrt source) they are off. They currently exist only as enhancement devices. They are conceptually a little bit like a PNP bipolar (grossly overlooking all the huge differences hinted at above). P-channel mosfets tend to need larger die area to get same on-resistance as a similar N device, are generally harder to make and so cost more. Really high voltage devices don't exist yet. The variety made is smaller.
All that is explained much better in books like the Art of Electronics or on zillions of web-pages.
piglet