A test of $H _ { 0 } : \mu = 42$ versus $H _ { 1 } : \mu

Question

A test of $H _ { 0 } : \mu = 42$ versus $H _ { 1 } : \mu < 42$ is performed using a significance level of $\alpha = 0.05$. The value of the test statistic is $z = - 1.47$. Is $H _ { 0 }$ rejected?
A) No
B) Yes
C) It cannot be determined.

Quizplus · Accepted Answer

The critical value for a one-tailed test at $\alpha = 0.05$ is approximately -1.645. Since the test statistic $z = -1.47$ is greater than -1.645, it does not fall in the critical region, and thus $H_0$ is not rejected.

A Test Of H0:μ=42H _ { 0 } : \mu = 42H0​:μ=42

A Test Of $H _ { 0 } : \mu = 42$