Or... now I am not that sure anymore. What if Person A believe in H0:97%, H1: 2%, H2: 1%, and Person B believe in H0:97%, H1: 1%, H2: 2%. They have quite similar beliefs, at least by some measures. But if H0 is ruled out, then suddenly their beliefs will be very different.
How does this contradict your earlier comment? I think it's still valid: Person A believes H1 (real psychic), Person B believes H2 (talented fraud). The question now is how to get them to agree. And the answer is: design a better experiment, such that fraud is not practical, and see what happens.
