A test of $H _ { 0 } : \mu = 56$ versus $H _ { 1 } : \mu \neq 56$ is performed using a significance level of $\alpha = 0.01$. The value of the test statistic is $z = - 2.46$.
If the true value of $\mu$ is 56 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Type I error
B) Type II error
C) Correct decision

Question

Quizplus · Accepted Answer

Since the true value of $\mu$ is 56 and the test statistic does not fall in the rejection region for $\alpha = 0.01$ (as $|z| < 2.576$), the null hypothesis is not rejected, resulting in a correct decision.

A Test Of H0:μ=56H _ { 0 } : \mu = 56H0​:μ=56

A Test Of $H _ { 0 } : \mu = 56$