This worksheet shows you how the classical method and P-value method of two-tail hypothesis testing work. Set the level of significance α and the magnitude of the test statistic. The critical values are computed for α and the critical region is shown shaded in orange. The P-value is computed for the test statistic and is shown by the green shaded area. You can see whether the test statistic falls in the critical region or the noncritical region. The decision whether to reject or not reject the null hypothesis is shown based on the results of the test.

When P < α, what is the decision?[br]When the green shaded area is larger than the orange shaded area, what does this signify?[br]Are you more likely or less likely to reject the null hypothesis for smaller values of α?