Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 27

Critical Thinking: One-Tailed versus Two-Tailed Tests
(a) For the same data and null hypothesis, is the P -value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test Explain.
(b) For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject H 0 while a two-tailed test results in the conclusion to fail to reject H 0 Explain.
(c) For the same data, null hypothesis, and level of significance, if the conclusion is to reject H 0 based on two-tailed test, do you also reject H 0 based on a one-tailed test Explain.
(d) If a report states that certain data were used to reject a given hypothesis, would it be a good idea to know what type of test (one-tailed or two-tailed) was used Explain.