Pilot reported an NMAC with a PA-28 aircraft on a straight in approach instead of utilizing the standard pattern entry procedures.

Narrative

Weather was no clouds with visibility ~15 sm. I was in the traffic pattern on downwind. A PA-28 flew a long straight in approach (intruder aircraft). I never had sight of him until I turned final and found he was 200 ft. below me and only few hundred feet ahead to my 11:00 position.Long straight in approach by intruder aircraft when other aircraft were flying the traffic pattern. I operate a mode C exempt and ASDB exempt aircraft pursuant to 14 CFR 91.215(b) and corresponding ADSB regulation. The airport underlies the ZZZ1 Class B. Training aircraft associated with the part 141 school rarely yield to other traffic and appear to rarely look for traffic visually. As my aircraft is not ADSB out equipped this causes a collision hazard.Discovered by visually sighting the traffic when the intruder was nearby.Aircraft on straight in visual approaches should yield right of way to aircraft in the traffic pattern. Intruder aircraft should not be permitted to fly below pattern altitude to cut others out of the pattern. While the intruder aircraft announced his position in the pattern; as did; I; it was clear that the intruder was fixated on his commitment to the straight in approach and would not modify his plan to accommodate traffic already in the pattern. I should have extended my downwind until I had the intruder in sight. Once having the intruder in sight I slowed to Vref and performed an 's' turn and then delayed landing until the intruder had cleared the runway. I should have executed a go around after spotting the intruder.Intruder should have made a normal traffic pattern entry and flown a safe traffic pattern. This would have eliminated the chance for a near collision. The PA-28 was engaged in a part 141 training flight. By demonstrating poor judgment the instructor pilot was certainly not promoting safety of flight.