A test of $H _ { 0 } : \mu = 42 \text { versus } H _ { 1 } : \mu \neq 42$ is performed using a significance level of $\alpha = 0.01$ The value of the test statistic is z=-2.71 . Is $H _ { 0 }$ rejected?
A) Yes
B) It cannot be determined.
C) No

Question

A test of $H _ { 0 } : \mu = 42 \text { versus } H _ { 1 } : \mu \neq 42$ is performed using a significance level of $\alpha = 0.01$ The value of the test statistic is  z=-2.71 . Is $H _ { 0 }$ rejected?
A) Yes
B) It cannot be determined.
C) No

Quizplus · Accepted Answer

Given a two-tailed test with $\alpha = 0.01$, the critical z-values are approximately $\pm2.58$. Since the test statistic $z = -2.71$ falls outside this range (it is less than -2.58), we reject $H_0$.

A Test Of H0:μ=42 versus H1:μ≠42H _ { 0 } : \mu = 42 \text { versus } H _ { 1 } : \mu \neq 42H0​:μ=42 versus H1​:μ=42

A Test Of $H _ { 0 } : \mu = 42 \text { versus } H _ { 1 } : \mu \neq 42$