Given $H _ { 0 } : \mu = 18 , H _ { \mathrm { a } } : \mu

Name: Given $H _ { 0 } : \mu = 18 , H _ { \mathrm { a } } : \mu < 18$, and $p = 0.068$. Do you reject or fail to reject $H _ { 0 }$ at the $.05$ level of significance? A) fail to reject $H _ { 0 }$ B) reject $H _ { 0 }$ C) not sufficient information to decide
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Question

Given $H _ { 0 } : \mu = 18 , H _ { \mathrm { a } } : \mu < 18$, and $p = 0.068$. Do you reject or fail to reject $H _ { 0 }$ at the $.05$ level of significance?
A) fail to reject $H _ { 0 }$
B) reject $H _ { 0 }$
C) not sufficient information to decide

Quizplus · Accepted Answer

Since the p-value (0.068) is greater than the significance level (0.05), we fail to reject the null hypothesis $H_0$.

Given H0:μ=18,Ha:μ<18H _ { 0 } : \mu = 18 , H _ { \mathrm { a } } : \mu < 18H0​:μ=18,Ha​:μ<18

Given $H _ { 0 } : \mu = 18 , H _ { \mathrm { a } } : \mu < 18$