# P value got 2.6293E-109 is this statistically significant after doing t-test [duplicate]

I was new in using t-test I got p-value 2.6293E-109 is this statistically significant how to represent in article results

• By itself the numerical value is meaningless. – Xi'an Apr 22 at 7:30
• What is your question (hyphotesis)? – oszkar Apr 22 at 7:30
• I recommend you do further research on the principles behind hypothesis testing, what are p-values and how the sampling distributions with which these tests are based on work. I recommend Khan Academy's series on AP Statistics which has good introductory statistical theory. – ajax2112 Apr 22 at 8:38

• A bit pedantic: The p-value represents the probability of seeing a result as extreme as the result you got, assuming the null hypothesis is true and assuming the statistical model is true. (and actually no model is true, but some models are sufficiently accurate) This means that the p-value, a computation of a probability, does not incorporate uncertainty about the computation/model itselve. Normally it is assumed that these effects are negligible, but for such small number like p-values of the order of $10^{-109}$, details like the tails of the distribution are important. – Sextus Empiricus Apr 22 at 7:48
How you report it, depends on the community. In some communities it is common to report almost exact, rounded to the next highest power of ten, e.g. $$p < 10^{-108}$$. In other communities, they prefer a more readable variant, $$p < 0.001$$ (which they tend to interpret as "highly significant").