Preheat the oven to 300 degrees F.
Remove the giblets from the cavity of your chicken, then rinse the chicken thoroughly with water, and dry it well with paper towels. Stuff the cavity with the garlic and lemon quarters.
In a small bowl, combine the paprika, salt, brown sugar, chili powder, black pepper, garlic powder, and cumin. Carefully run your fingers under the skin on the breast of your bird. Rub the breast underneath the skin with 1 tablespoon of the olive oil and 1 teaspoon of the spice mixture. Rub the remaining 2 tablespoons olive on the chicken's skin, and season the bird all over with the remaining spice mixture. When you're finished with the spicing, tie the legs together with kitchen twine and place the bird breast side up in an oven proof skillet or roasting pan (I used a baking sheet).
Roast the chicken for 2 hours 45 minutes to 3 hours (depending on the size of your bird), basting at the 1 1/2 and 2 1/2 hour marks (no need for a baster- just spoon any juices in the pan over the bird) or until the meat is very tender and the skin is dark brown. (Don't panic if the skin has blackened in some spots. That's a good thing.)
Let the chicken rest for 10 minutes before carving and serving.