**Core Concept**
Elevation of the right hemi-diaphragm can be caused by various conditions that lead to increased pressure or inflammation in the right upper quadrant of the abdomen, which in turn raises the diaphragm. This can be due to conditions such as abscesses, liver pathology, or other space-occupying lesions.

**Why the Correct Answer is Right**
Cholecystitis is inflammation of the gallbladder, which is located under the liver but not in the sub-diaphragmatic space. While cholecystitis can cause right upper quadrant pain and tenderness, it typically does not lead to elevation of the right hemi-diaphragm. This is because the gallbladder is not directly in contact with the diaphragm and is not a common cause of diaphragmatic elevation.

**Why Each Wrong Option is Incorrect**
**Option A:** Amebic abscess, typically located in the right lobe of the liver, can cause liver enlargement and subsequent elevation of the right hemi-diaphragm due to increased pressure.
**Option B:** Pyogenic abscess, located in the sub-diaphragmatic space, can cause elevation of the right hemi-diaphragm due to increased pressure and inflammation.
**Option D:** Sub-diaphragmatic abscess, located below the diaphragm, can cause elevation of the right hemi-diaphragm due to increased pressure and inflammation.

**Clinical Pearl / High-Yield Fact**
When evaluating a patient with right upper quadrant pain and tenderness, it's essential to consider the differential diagnosis of conditions that can cause elevation of the right hemi-diaphragm, such as liver abscesses, sub-diaphragmatic abscesses, or other space-occupying lesions.

**✓ Correct Answer: C. Cholecystitis. Cholecystitis is not typically associated with elevation of the right hemi-diaphragm.**