A survey claims that 7 out of 10 customers recommend Western Drugs for pharmacy issues. To test this claim, a random sample of 100 customers is obtained from the list of Rewards customers. Of these 100 customers, 75 indicate that they recommend using Western Drugs for pharmacy needs. We would like to know if this claim is accurate. A) $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } \neq 0.70$ B) $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } 0.75$ C) $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p }

Question

A survey claims that 7 out of 10 customers recommend Western Drugs for pharmacy issues. To test this claim, a random sample of 100 customers is obtained from the list of Rewards customers. Of these 100 customers, 75 indicate that they recommend using Western Drugs for pharmacy needs. We would like to know if this claim is accurate. 
A) $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } \neq 0.70$
B) $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } > 0.75$
C) $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } < 0.70$
D) $H _ { 0 } : \mathrm { p } \neq 0.70 \text { and } H _ { A } : \mathrm { p } = 0.70$
E) $H _ { 0 } : \mathrm { p } = 0.75 \text { and } H _ { A } : \mathrm { p } \neq 0.75$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) is a statement of no effect or no difference, and it often represents a statement of equality (e.g., $p = 0.70$). The alternative hypothesis ($H_A$) is what you might believe to be true or hope to prove true and is often represented by a statement of inequality ($p \neq 0.70$), indicating that the proportion who recommend the pharmacy is not 70%. This setup allows for testing if the true proportion differs in either direction from 0.70, matching the scenario's intent to verify the accuracy of the claim.

A Survey Claims That 7 Out of 10 Customers Recommend H0:p=0.70 and HA:p≠0.70H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } \neq 0.70H0​:p=0.70 and HA​:p=0.70

A Survey Claims That 7 Out of 10 Customers Recommend $H _ { 0 } : \mathrm { p } = 0.70 \text { and } H _ { A } : \mathrm { p } \neq 0.70$