A Type I error occurs when a significance test results in the rejection of a true null hypothesis. A Type II error that can be made in significance testing is failing to reject a false null hypothesi...A Type I error occurs when a significance test results in the rejection of a true null hypothesis. A Type II error that can be made in significance testing is failing to reject a false null hypothesis. Unlike a Type I error, a Type II error is not really an error. When a statistical test is not significant, it means that the data do not provide strong evidence that the null hypothesis is false. Lack of significance does not support the conclusion that the null hypothesis is true.