p < 0,05, Criterio mágico para resolver cualquier problema o leyenda urbana?

p <0.05, A magic criterion to solve any problem or an urban legend? Hypothesis testing is a well-known procedure for data analysiswidely used in scientific papers but, at the same time, strongly criticized and its use questioned and restricted in some cases due toinconsistencies observed from their application. This issue is analyzed in this paper on the basis of the fundamentals of the statisticalmethodology and the different approaches that have been historically developed to solve the problem of statistical hypothesis analysishighlighting a not well known point: the P value is a random variable. The fundamentals of Fisher′s, Neyman-Pearson′s and Bayesian′s solutions are analyzed and based on them, the inconsistency of the commonly used procedure of determining a p value, compare it to a type I error value (usually 0.05) and get a conclusion is discussed and, on their basis, inconsistencies of the data analysis procedure are identified, procedure consisting in the identification of a P value, the comparison of the P-value with a type-I error value –which is usually considered to be 0.05– and upon this the decision on the conclusions of the analysis. Additionally, recommendations on the best way to proceed when solving a problem are presented, as well as the methodological and teaching challenges to be faced when analyzing correctly the data and determining the validity of the hypotheses.