Have i got the right Derailleur
You know, from that picture, and from their description, it is very difficult to tell what kind of rear derailleur that takes.  It says Tourney, but there are so many different derailleurs that have been made under the Tourney label, there is no telling from that.  It will become very apparent as you try to replace it whether you got the right one...

A Direct Mount rear derailleur will have a 5- or 6-millimeter recessed allen bolt threading into a hole in a bracket that is bolted to or part of the frame.  

A Hanger Mount rear derailleur will have that bracket built into the rear derailleur and will instead tension into the back of a long dropout where you also mount the axle of the rear wheel, usually attaches with a Phillips screwdriver or a 9mm socket, tightening a nut that has a half moon shape.

That derailleur you bought has a direct mount on an extended hanger, and mounts as a direct mount.  Once you determine from the above descriptions which type you have, match the replacement to the same type.