The unanswered question here is, What do you mean by "hip pain". In my practice, the hip is referred to by pain in the groin or inguinal pain, pain over the lateral aspect of the hip and pain in the buttock. Inguinal pain is true hip pain, the hip joint is located anterior and pain from the joint is typically in the groin. Lateral hip pain, pain over the greater trochanter, the bony knot you feel on the lateral aspect of the hip is most often related to bursitis and can be diagnosed and treated with a local anesthetic/steroid injection. Buttock pain can be related to SI joint inflammation or if your lumbar issues are at L1-L2 or L2-L3 levels, nerve root irritation at those levels can cause pain to radiate around the hip. In answer to your question a single AP hip x-ray can demonstrate whether significant arthritis is present in the hip joint.