Generally, it is possible to appropriately test a null and alternative hypotheses using the test statistic approach and reach a different conclusion than would be reached if the p-value approach were used.

Question

Quizplus · Accepted Answer

Both the test statistic approach and the p-value approach are methods used to determine whether to reject the null hypothesis, and they should lead to the same conclusion when applied correctly to the same dataset and hypothesis test.

Generally, It Is Possible to Appropriately Test a Null and Alternative