Critical Thinking: One-Tailed versus Two-Tailed Tests (a)

Chapter , Problem 21

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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 while a two-tailed test results in the conclusion to fail to reject Explain. (c) For the same data, null hypothesis, and level of significance, if the conclusion is to reject based on a two-tailed test, do you also reject 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.

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