In this study, we consider the quality characteristics of two products, X and Y, to follow the independent exponentiated Weibull distribution under progressive type II right censored sample in order to construct the maximum likelihood estimator (MLE) of the measure of performance R(=P[X > Y]). Moreover, we also use the MLE to construct a new hypothesis testing procedures for R in order to assess the quality performance of product and compare the superiority-inferiority of two products. Finally, two numerical examples and the Monte Carlo simulation study are utilized to illustrate the use of the testing procedure.