How to predict the significant relationship looking at the equation - (Aug/04/2015 )

Dear all,

Please let me know how to understand the statistical relationship by checking the eqation.

for example -

K−W p = 7.0E−10

,

how do you say it's statistically significant or not.

thanks a lot.

With this little information I'd say it's from a Kruskal Wallis test. If you did this test and this is the resulting p value, then it "suggests that the observed data are inconsistent with the assumption that the null hypothesis is true and thus that hypothesis must be rejected (but this does not automatically mean the alternative hypothesis can be accepted as true)**."
Usually scientists use a threshold value which is e.g. 0.05 or 0.01 (i.e. values chosen by general agreement not by biological significance) and when your p-value is equal or smaller, your results from one  treatment/group are e.g. statistically significant different from another one  (when the test is correctly chosen and it's assumptions on the data fulfilled, which is for the K-W test easily done as it's a non-parametric test).
A nice webpage with more details; also wikipedia pages with the stats basics are well written here and sufficient for a beginner (** got this from here).

Thank you very much, helped a lot