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.
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.