A test of H₀:$\mu$=55 versus H₁: $\mu \neq$ 55 is performed using a significance level of $\alpha$:=0.05 . The P-value is 0.048 . If the true value of $\mu$: is 59 , does the conclusion result in a Type I error, a Type II error, or a correct decision? A) Type I error B) Type II error C) Correct decision

Question

Quizplus · Accepted Answer

Since the true value of $\mu$ is 59, which is different from 55, rejecting the null hypothesis (that $\mu = 55$) based on a P-value of 0.048 (which is less than the significance level of 0.05) leads to a correct decision, not an error.

A Test of H0 μ\muμ =55 Versus H1 μ≠\mu \neqμ= 55 Is Performed Using a Significance Level Of

A Test of H₀ $\mu$ =55 Versus H₁ $\mu \neq$ 55 Is Performed Using a Significance Level Of