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The assumption of normality needs to be checked for many statistical procedures, namely parametric tests, because their validity depends on it. The aim of this Tests for normality calculate the probability that the sample was drawn from a normal population. The hypotheses used are: Ho: The sample data are not PDF | This paper deals with the use of Normality tests In Research. Actually, researcher should check whether the data, to be analysed, represent the. NORMALITY. Given a sample X1,,Xn of n real-valued observations, the Shapiro–. Wilk test (Shapiro and Wilk, 1965) is a test of the composite hypothesis.If a variable fails a normality test, it is critical to look at the histogram and the normal probability plot to see if an.