Conclusion: Peter, Paul, and James were sincerely convinced they had seen Jesus alive — the conspiracy/lying hypothesis is eliminated by the evidence

The only conclusion warranted by the evidence is that Peter, Paul, and James genuinely believed they had seen Jesus alive after his death. This eliminates the conspiracy hypothesis as an alternative explanation for the resurrection. The next evidential step (not covered in this video) is to address whether sincere conviction plus eyewitness status can be explained by hallucination theories or other non-resurrection hypotheses.