I believe what it is telling us is that based on the strength of the data, if you ran that trial 100 times, based on statistics, you would get the same result 98.6 & 99.99 times out of 100 times.
But what it doesn't tell you is that you have a 98.6% or 99.99% chance that your treatment was the cause of the result.
Subtle difference.
Happy to be corrected
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