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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.
Type II error. When the null hypothesis is false and you fail to reject it, you make a type II error. The probability of making a type II error is Î², which depends on the power of the test. You can decrease your risk of committing a type II error by ensuring your test has enough power.