The statement represents a claim. Write its complement and state which is $$\mathrm { H } _ { 0 }$$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\mu$ = 8.3 A) $\mathrm { H } _ { 0 } : \mu = 8.3 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mu \neq 8.3$ B) $\mathrm { H } _ { 0 } : \mu \neq 8.3 ; \mathrm { H } _ { \mathrm { a } } : \mu = 8.3 \text { (claim) }$ C) $\mathrm { H } _ { 0 } : \mu \geq 8.3 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mu 8.3 \text { (claim) }$

Question

The statement represents a claim. Write its complement and state which is $$\mathrm { H } _ { 0 }$$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\mu$ = 8.3
A) $\mathrm { H } _ { 0 } : \mu = 8.3 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mu \neq 8.3$
B) $\mathrm { H } _ { 0 } : \mu \neq 8.3 ; \mathrm { H } _ { \mathrm { a } } : \mu = 8.3 \text { (claim) }$
C) $\mathrm { H } _ { 0 } : \mu \geq 8.3 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mu < 8.3$
D) $\mathrm { H } _ { 0 } : \mu \leq 8.3 ; \mathrm { H } _ { \mathrm { a } } : \mu > 8.3 \text { (claim) }$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) is a statement of no effect or no difference and is the complement of the alternative hypothesis ($H_A$). Since the claim is $\mu = 8.3$, the null hypothesis is $H_0 : \mu = 8.3$, and its complement, the alternative hypothesis, is $H_A : \mu \neq 8.3$.

The Statement Represents a Claim H0\mathrm { H } _ { 0 }H0​

The Statement Represents a Claim $\mathrm { H } _ { 0 }$