The original idea of rejecting studies with low power and authorising them if their power is sufficiently high is reasonable and even an obligation, although in practice this reasoning is heavily constrained by the fact that the power of a study depends on several factors, rather than a single one. Furthermore, there is no threshold separating 'high' power values from 'low' power values'. However, if the result is very significant, considering how powerful it was it makes little sense after the study has been carried out. It is only possible to take advantage of the result. Situations in which this result is not statistically significant warrant further consideration. Consideration of the power may be useful in these circumstances. This article focuses on the position that should be adopted in these cases, and it shows that in order to draw reasonable conclusions about the effect size of the population, calculating the confidence interval is more useful than calculating the power, and its interpretation is more easily understood by physicians who lack training in statistical analysis.