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In statistics, why do you reject the null hypothesis when the p-value is less than the alpha value (the level of significance). up vote 2 down vote favorite. 1. This is a question that I've always wondered in statistics, but never had the guts to ask the professor.The professor would say that if the p-value is less than or equal to the level of significance (denoted by alpha) we reject the null hypothesis because the test statistic falls in the rejection region.When I first learned this, I did not understand why were comparing the p values to the alpha values.. This is a question that I've always wondered in statistics, but never had the guts to ask the professor. The professor would say that if the p-value is less than or equal to the level of significance (denoted by alpha) we reject the null hypothesis because the test statistic falls in the rejection region.
The null hypothesis is an hypothesis about a population parameter. The purpose of hypothesis testing is to test the viability of the null hypothesis in the light of experimental data. Depending on the data, the null hypothesis either will or will not be rejected as a viable possibility.