# Insignificant p-value

I've a question regarding insignificant p-value.

If I got p-value greater than 0.05, does that mean my result is biological insignificant?

Can anyone help me to clear this up?

• I think your question is related to the meaning of p-value. If you still don't understand after reading this you can ask specific questions =) – Max Apr 20 '18 at 19:02
• $p$-values tell you nothing about biological significance. – Erick Wong Apr 20 '18 at 19:03

Suppose you are testing $H_0: \mu = 100$ against $H_a: \mu \ne 100,$ where the value of $\mu$ may be of importance in biology.
If the p-value of a test exceeds 5%, then there is not sufficient evidence to reject $H_0.$ Then you would say there is not evidence of a statistically significant change in $\mu$ (from 100) according to the data used for the test.
Maybe you have a huge amount of data and you can claim $\mu \approx 100.5$ instead of $\mu = 100.$ The change by 0.5 might be 'real', but a biologist might say that's not an important difference. (She might say, "I'd be really interested if you told me the change is 5, but people would laugh if I wrote a paper claiming a difference of 0.5.")
If a study is wisely planned with about the right number $n$ of observations, then statistical significance and practical importance will amount to about the same thing. That takes more careful advance planning than one often sees in practice.