aftermarket headers and smog stuff

I purchased a 1995 cobra yesterday (I am so proud to own a mustang again). It has BBK equal length headers #E.O. D-245-5, they don't have the fitting for the EGR tube. Right now the EGR is uncapped. There is also a hose that is not attached to anything. I'm not sure where it goes. It is part of the smog stuff. I attached a picture of it. I know the EGR being uncapped, and this hose not attached to anything cant be good. I ordered a EGR screw cap last night to cap off the EGR. The check engine light is not on.

Thanks

Jared

Thanks for the replies. The main hose goes from the smog pump to the back of the cylinder heads. the disconected hose in question T's downward from the middle of the hose between the smog pump and back of cylinder heads.
Thanks Jared