P-value under 5% but power under 80% Im trying to understand how to accurately report results on AB tests
If my type 1 error is 5% and type 2 is 20% , can we have instances where the p-value is < 0.05 and power is < 0.8?
If so, how ? What does it mean ?
Is something statistical significant when p-value is under 0.05 or power over 80% (assuming alpha and beta are defined to be 5% and 20%)?
EDIT: Im performing my power analysis during an experiment. Im trying to give updates on how a change in a button colour is performing. And in that update I want to specify the power it has.

If you observe a p-value equal to the alpha level, then you have roughly $50\%$ power for a true effect that equals the observed effect. Observations that are closer to the null hypothesis will not be significant and observations further from the null hypothesis will be significant. You have roughly 50:50 probability that these will happen (often the distribution is more or less symmetrical).
Here is an example for a normal distribution. From this question Report power if result is statistically significant
The alpha level is here $5\%$. We observe a p-value below $0.05$ and the power is below $0.8$.

