Computer programs, by default, only give certain number of decimals. your '.000' may have non-zero numbers at 4th and/or 5th & so on decimal places. If allowed, I save the probability value and then print with large number of decimals places (commutations are generally done in double precision). The other practice for F-test in agricultural research area is to quote low probability as '
If the p-value appears as .000 it means that the p-value is less than 0.0005, a highly significant p-value, which can be written as
We determine the tabular value and compare with the calculated value. If the tabular value is greater than the calculated value, then we adopt the hypothesis
In simple terms; this means that the difference you are testing is significant; you should reject the null hypothesis H0 and accept the alternative one.
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