Which of the following are two-tailed tests? A) H_o:μ ≤ 10,H_A:μ 10 B) H_o:μ = 10,H_A:μ ≠ 10 C) H_o:μ ≥ 400,H_A:μ 10 and H_o:μ ≥ 400,H_A:μ

Question

Which of the following are two-tailed tests? A) H_o:μ ≤ 10,H_A:μ > 10 B) H_o:μ = 10,H_A:μ ≠ 10 C) H_o:μ ≥ 400,H_A:μ < 400 D) Both H_o:μ ≤ 10,H_A:μ > 10 and H_o:μ ≥ 400,H_A:μ < 400

Quizplus · Accepted Answer

Two-tailed tests are used when the null hypothesis is that there is no difference or no relationship, and the alternative hypothesis is that there is a difference or a relationship in either direction. In option B, the null hypothesis is that μ = 10 and the alternative hypothesis is that μ ≠ 10, which implies a two-tailed test. Options A and C have a one-tailed test to test a specific direction. Option D has two one-tailed tests, but they are testing opposite directions, not a two-tailed test.

Which of the Following Are Two-Tailed Tests