The hoody (or
hoodie) is a conceivable name for many quite different kinds of apparel, though it's typically reserved for a
hooded
sweatshirt. What you call a hoodie may very well be a
pullover by someone with different standards. The only common thread is the presence of a hood.
A hoodie may or may not have a zipper. This zipper may or may not extend from the neck to the bottom hem. If your hoodie has a zipper, but is made of weatherproof material, it is probably a raincoat.
Your hoodie may or may not have pockets. If it does have pockets AND a full zipper, they are probably not autonomous, i.e. connected at your stomach for one big pocket that loses everything inside it when you sit down.
Your hoodie may or may not be embroidered or silk-screened. If it has the name of a destination, such as Bar Harbor, Maine, you are probably a tourist. If it has "attitude verbiage" on it, you may be a poser or naïve, or you may simply not care about what's on your shirt as long as it's warm. If it has the name of a record label, you may be labeled as "interesting" or "numbskull" by the observer, e.g. wearers of Underground Resistance hoodies in my eyes have obviously better tastes in music than, say, wearers of Ministry of Sound sweatshirts. If you don't listen to the music you advertise on your shirt, well, that's just silly.
If your hoodie contains the entire neon Crayola spectrum, says Ocean Pacific, and folds itself up into a football-sized package, you are probably seven.