What sign is associated with weakness of the gluteus medius and minimus muscles?

The Trendelenburg sign is associated with weakness of the gluteus medius and minimus muscles, which play crucial roles in stabilizing the pelvis during walking. When the gluteus medius and minimus are weak on one side, there is an inability to maintain pelvic stability, leading to a characteristic drop of the opposite hip during ambulation. This sign can be tested by asking the patient to stand on one leg; if the pelvis tilts down on the side of the lifted leg, it indicates weakness in the muscles responsible for stabilizing the stance leg's hip.

The other options presented are not related to the weakness of the gluteus medius and minimus. The Faber sign and Patrick's test are used to assess hip joint pathology or sacroiliac joint dysfunction. Spurling's test is used to evaluate cervical radiculopathy. These tests focus on different clinical conditions and do not specifically indicate weakness in the gluteus muscles. Thus, the Trendelenburg sign distinctly correlates with gluteal muscle weakness, making it the correct answer.