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

Question

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

Quizplus · Accepted Answer

The rejection region for a two-tailed test at the 0.05 level of significance corresponds to the critical values of z that lie beyond the central 95% of the standard normal distribution. This means the rejection region is in the tails, and since the distribution is symmetric, the critical z-values are ±1.96. Therefore, the correct rejection region is |z| > 1.96, which corresponds to the areas in both tails beyond these critical values.

The Rejection Region for Testing H 0: M = 100

The Rejection Region for Testing H ₀: M = 100