The following examples show when to reject (or fail to reject) the null hypothesis for the most common types of hypothesis tests. In other words, if the p-value is low enough then we must reject the null hypothesis. You can use the following clever line to remember this rule: If the p-value is not less than the significance level, then you fail to reject the null hypothesis. If the p-value is less than the significance level, then you reject the null hypothesis.

Reject or fail to reject the null hypothesis. Use the sample data to calculate a test statistic and a corresponding p-value.Ĥ. Calculate the test statistic and p-value.

Determine a significance level to use.ĭecide on a significance level. The alternative hypothesis, denoted as H A, is the hypothesis that the sample data is influenced by some non-random cause.Ģ. The null hypothesis, denoted as H 0, is the hypothesis that the sample data occurs purely from chance.

Step 1: State the null and alternative hypotheses. We always use the following steps to perform a hypothesis test: A hypothesis test is a formal statistical test we use to reject or fail to reject a statistical hypothesis.

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