Answer in Statistics and Probability for Millicent #250760
October 24th, 2022
Which of the options is the rejection region for testing H0: μ = 100 vs. H1: μ ¹ 100, at the 0.05 level of significance?Select one:
a. | z | < 0.95
b. | z | > 1.96
c. z > 1.65
d. z < 2.33
The following null and alternative hypotheses need to be tested:
“H_0:mu=100”
“H_1:munot=100”
This corresponds to a two-tailed test, for which a z-test for one mean, with known population standard deviation will be used.
Based on the information provided, the significance level is “alpha = 0.05,” and the critical value for a two-tailed test is “z_c = 1.96.”
The rejection region for this two-tailed test is “R = {z: |z| > 1.96}.”
b. “| z | >1.96”
