Step 1: Read the laboratory result first - barrel-shaped (lemon-shaped) eggs with clear plugs at both ends are pathognomonic of one organism.
Step 2: That organism is the whipworm, Trichuris trichiura, whose adults embed in the colon and rectum.
Step 3: A heavy worm load irritates the bowel, producing dysentery-like bloody mucoid stools, tenesmus, and in children a prolapsed rectum carpeted with worms.
Step 4: The three bacterial or protozoal distractors never produce helminth ova, so the egg description alone settles it.
\[\boxed{\text{Trichuris}}\]