A test of $H _ { 0 } : \mu = 56$ versus $H _ { 1 } : \mu \neq 56$ is performed using a significance level of $\alpha = 0.05$. The $P$-value is $0.016$.
If the true value of $\mu$ is 54 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Type II error
B) Correct decision
C) Type I error

Question

Quizplus · Accepted Answer

Since the $P$-value (0.016) is less than the significance level ($\alpha = 0.05$), we reject $H_0$. The true value of $\mu$ is different from 56 (it is 54), so rejecting $H_0$ is the correct decision.

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

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