Currently renovating a ranch. Bathroom and kitchen are back to back, and the bath fan is vented through the attic out towards the side of the house. When the siding was done a few years back they blocked up the outside vent, which will also have to be re-installed. I am planning to install a ducted hood fan in the kitchen and run the hose parallel to the bath vent hose. My question is how to connect the 2 to the vent? Do I use a simple T-connector at the end of the run, closest to where the outside vent will be? Any suggestions are appreciated.