Given $H _ { 0 } : \mu = 25 , H _ { \mathrm { a } } : \mu \neq 25$, and $p = 0.033$. Do you reject or fail to reject $H _ { 0 }$ at the $.01$ level of significance?
A) reject $H _ { 0 }$
B) fail to reject $H _ { 0 }$
C) not sufficient information to decide

Question

Quizplus · Accepted Answer

At the .01 level of significance, the p-value (0.033) is greater than the significance level (0.01), meaning there is not enough evidence to reject the null hypothesis $H_0$.

Given H0:μ=25,Ha:μ≠25H _ { 0 } : \mu = 25 , H _ { \mathrm { a } } : \mu \neq 25H0​:μ=25,Ha​:μ=25

Given $H _ { 0 } : \mu = 25 , H _ { \mathrm { a } } : \mu \neq 25$