If this would be enough to prove the effectiveness of rain-dancing, then we would develop 30 different styles of rain-dance, test each of them, and with a very high chance we would get p<0.05 on at least one of them.
Sadly, the medical industry is full of such publications, because publishing new ideas is rewarded more than reproducing already published experiments.
That could backfire quite spectacularly :-)
We should keep running the trials until we can get p<0.05 and prove the hypothesis!
If this would be enough to prove the effectiveness of rain-dancing, then we would develop 30 different styles of rain-dance, test each of them, and with a very high chance we would get p<0.05 on at least one of them.
Sadly, the medical industry is full of such publications, because publishing new ideas is rewarded more than reproducing already published experiments.
Hitting p<0.05 doesn’t prove the hypotheis. That’s not what the t-test does.