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This paper tries to pay the attention of researchers in the medical field to the use of the statistical tests as good tools for assessing the efficacy of the treatment methods, especially the non-parametric statistical tests. A statistical test is designed to judge the behavior of clinical data, whether these data have exponential property or not. Laplace transform technique and aging classes concept of life distributions are used to design the proposed test. Knowing the behavior of clinical data helps statisticians and researchers to make the right decision about the problem under study. To guarantee the right assessment using the proposed statistical test, Its efficiency and power are calculated and compared with other tests. The proposed statistical test is applied to real clinical data. Finally, concluding remarks are formulated to summarize the main results.