Test Hypotheses about a Population Mean with Known Using P-values
-Given $\mathrm { H } _ { 0 } : \mu \leq 85 , \mathrm { H } _ { 1 } : \mu 85$, and $\mathrm { P } = 0.006$. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ at the $0.01$ level of significance?
A) reject $\mathrm { H } _ { 0 }$
B) fail to reject $\mathrm { H } _ { 0 }$
C) not sufficient information to decide

Question

Test Hypotheses about a Population Mean with Known Using P-values
-Given $\mathrm { H } _ { 0 } : \mu \leq 85 , \mathrm { H } _ { 1 } : \mu > 85$, and $\mathrm { P } = 0.006$. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ at the $0.01$ level of significance?
A) reject $\mathrm { H } _ { 0 }$
B) fail to reject $\mathrm { H } _ { 0 }$
C) not sufficient information to decide

Quizplus · Accepted Answer

Since the p-value (0.006) is less than the significance level (0.01), we reject the null hypothesis $\mathrm { H } _ { 0 }$.

Test Hypotheses About a Population Mean with Known Using P-Values H0:μ≤85,H1:μ>85\mathrm { H } _ { 0 } : \mu \leq 85 , \mathrm { H } _ { 1 } : \mu > 85H0​:μ≤85,H1​:μ>85

Test Hypotheses About a Population Mean with Known Using P-Values $\mathrm { H } _ { 0 } : \mu \leq 85 , \mathrm { H } _ { 1 } : \mu > 85$