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How would one intreprete a p value of 0.000?

Updated: 8/17/2019
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Probability = 0 can be interpreted as an outcome that can not occur after infinite independent trials. A relative frequency (also termed an empirical or experimental probability) of zero, even after a large number of trials, can not have the same interpretation. If, after say a million trials, a particular outcome has not occurred, the correct interpretation based solely on the data, is that the outcome is highly unlikely to occur, but not impossible. The conclusion of "impossible to occur" and "highly unlikely to occur" are mutually exclusive conclusions. If an event is highly unlikely to occur, then there exists a probability > 0 of occurring, and after infinite trials, this event must occur.

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Q: How would one intreprete a p value of 0.000?
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