A test of $H _ { 0 } : \mu = 63$ versus $H _ { 1 } : \mu

Name: A test of $H _ { 0 } : \mu = 63$ versus $H _ { 1 } : \mu < 63$ is performed using a significance level of $\alpha$=0.05. The value of the test statistic is z=-1.81. Is $H _ { 0 }$ rejected? A) Yes B) No C) It cannot be determined.
Brand: Quizplus
Rating: 4.7 (34 reviews)

Question

A test of $H _ { 0 } : \mu = 63$ versus $H _ { 1 } : \mu < 63$ is performed using a significance level of $\alpha$=0.05. The value of the test statistic is z=-1.81. Is $H _ { 0 }$ rejected?
A) Yes
B) No
C) It cannot be determined.

Quizplus · Accepted Answer

The critical value for a one-tailed test at a significance level of 0.05 is -1.645. Since the test statistic (-1.81) is less than the critical value, we reject the null hypothesis.

A Test Of H0:μ=63H _ { 0 } : \mu = 63H0​:μ=63

A Test Of $H _ { 0 } : \mu = 63$