The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $p \leq$ .93 A) $\mathrm { H } _ { 0 } : \mathrm { p } \leq 0.93 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } 0.93$ B) $\mathrm { H } _ { 0 } : \mathrm { p } 0.93 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \leq 0.93 \text { (claim) }$ C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.93 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.93 \text { (claim) }$ D) $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.93 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mathrm { p }

Question

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $p \leq$ .93
A) $\mathrm { H } _ { 0 } : \mathrm { p } \leq 0.93 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.93$
B) $\mathrm { H } _ { 0 } : \mathrm { p } > 0.93 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \leq 0.93 \text { (claim) }$
C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.93 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.93 \text { (claim) }$
D) $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.93 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.93$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) is typically a statement of no effect or no difference and is the complement to the alternative hypothesis ($H_A$). Since the claim is $p \leq .93$, the complement (alternative hypothesis) is $p > .93$, making choice A correct with $H_0: p \leq 0.93$ and $H_A: p > 0.93$.

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

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