t-statistic and p-value

If in a question we are given the calculated t-statistic and the p-value:

Can I assume that if the t > p-value then the test is significant? (Like when the t > t critical?

Or is this relation deeper?

#starting to forget the most basic things…going crazy

If the absolute value of t is greater than the t-statistics, you reject the H0.

If the p-value is less than the significant level, you reject H0.

Yes sure I remember now. P-value is with the significance level.

Thx.

To give you a concrete example:

5 % level of significance, p-value 0.01.

Since p-value < lvl of significance, we reject the null hypothesis and conclude that the statistic is significant.

Clear, thanks both.

Keep in mind that the statistic is not what’s significant-- the test is significant. This is a short way to say that the data (evidence) we have observed is in enough disagreement with Ho to warrant our rejection of Ho– that is, we say Ho seems too silly in the face of evidence so we conclude Ha.