Test for enough observations in linear probability model


I run alinear probability regression on a binary variable of interest and various controls. The coefficient of my variable of interest is statistically insignificant and rather small (as expected).

However, I want to run a test whether it is insignificant because my sample comprises too view observations (comparable studies use 10 times the size) or because there is just no statistical significant relation. Does anybody have a suggestion for a test method or any paper dealing with this issue?

BTW, I've read some articles concerning the power, but they were all related to biology/ medicine but I am doing economics....

Thanks in advance for any hints!