Preheat oven to 400°F. Heat oil in a large ovenproof skillet over medium-high heat. Add sweet potatoes, and sauté until browned, about 12 minutes. Add onions and peppers, and sauté until slightly softened, about 6 to 8 minutes more. Add sausages, cumin, salt, and paprika. Sauté 4 minutes. Make 4 little wells in the sweet potato mixture and crack an egg into each area. Transfer the skillet to the oven, and bake until sweet potatoes are tender and eggs are set but yolks are still soft, about 12 to 15 minutes. Divide mixture evenly among the plates, giving each person one egg with some hash. Garnish with freshly ground black pepper.