Years ago, I tried to influence the random-number-generator on random.org with my mind. I was surprised to get results with p<0.01 likelihood, but I no longer have the data. Tomorrow, Tuesday the 23rd, I will try a larger repeat performance.
random.org allows you to generate integers, lottery picks, dice, etc. Among these, https://www.random.org/dice/ is the one I've chosen because it allows me to gather a large amount of data quickly: you can roll 60 virtual dice with one click.
I plan to roll 6000 virtual dice, while trying to psychically will the number FOUR to come up. If there is a small but real effect, these large numbers will allow me to detect it.
On the 3rd of April, I did a small experiment: I rolled 600 virtual dice and got 118 fours. This is a p=value of 0.02956, meaning this abundance of fours will occur 3% of the time by chance. Pretty good.
These results are interesting enough that I want to do it once and for all with 6000 rolls instead of 600. This should give me a decisive p-value. If the same proportion of fours is replicated again among 6000 rolls (1180 instead of the chance-expected 1000), the odds of fluke approach zero. Any number of fours above about 1140 is a one-in-a-million fluke.