Hydrofarm Active Aqua 160 HELP!

I own an active aqua 160 water pump and I am going to make a hydroponic system but I am not 100% sure what size black vinyl tubing to get. It says 5/16" but noone sells that size tubing. It came with a tube like piece but I dont even know how to attach it. It also says 1/2" and I guess that is the tube like piece. So basically what I am asking is does anyone have one of these products and if so how did you set this up on a hydroponic system. Also how are you supposed to install the 1/2" tube onto the pump? Any help would be nice
 
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