The rejection region for testing H 0 : μ = 100 vs.H 1 : μ ≠ 100,at the 0.05 level of significance is:A) | z | 1.96C) z 1.65D) z

Question

The rejection region for testing H 0 : μ = 100 vs.H 1 : μ ≠ 100,at the 0.05 level of significance is:A) | z | < 0.95B) | z | > 1.96C) z > 1.65D) z < 2.33

emilia cipressi · Accepted Answer

Final Answer : B, Explanation :  Since the alternative hypothesis is two-sided (μ ≠ 100), we need to use a two-tailed test. At the 0.05 level of significance, the critical values for a two-tailed test are ±1.96. Therefore, the rejection region for the test is |z| > 1.96.

The rejection region for testing H₀: μ = 100 vs.H₁: μ ≠ 100,at the 0.05 level of significance is:

A) | z | < 0.95
B) | z | > 1.96
C) z > 1.65
D) z < 2.33

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Learning Objectives

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The rejection region for testing H0: μ = 100 vs.H1: μ ≠ 100,at the 0.05 level of significance is:A) | z | < 0.95B) | z | > 1.96C) z > 1.65D) z < 2.33

Definitions

Learning Objectives

Learning Objectives

Related questions

The rejection region for testing H₀: μ = 100 vs.H₁: μ ≠ 100,at the 0.05 level of significance is:

A) | z | < 0.95
B) | z | > 1.96
C) z > 1.65
D) z < 2.33