Read the following problem description then choose the correct null and alternative hypothesis. A new drug is being tested to see whether it can reduce the rate of food-related allergic reactions in Children ages 1 to 3 with food allergies. The rate of allergic reactions in the population of concern is 0.03. A) $\mathrm { H } _ { 0 } : \mathrm { p } \neq 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.03$ B) $\mathrm { H } _ { 0 } : \mathrm { p } 0.03$ D) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p }

Question

Read the following problem description then choose the correct null and alternative hypothesis. A new drug is being tested to see whether it can reduce the rate of food-related allergic reactions in Children ages 1 to 3 with food allergies. The rate of allergic reactions in the population of concern is 0.03. 
A) $\mathrm { H } _ { 0 } : \mathrm { p } \neq 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.03$
B) $\mathrm { H } _ { 0 } : \mathrm { p } < 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.03$
C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.03$
D) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.03$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) assumes no effect or no change, so $p = 0.03$. The alternative hypothesis ($H_a$) tests if the drug reduces the rate, so $p < 0.03$.

Read the Following Problem Description Then Choose the Correct Null H0:p≠0.03;Ha:p=0.03\mathrm { H } _ { 0 } : \mathrm { p } \neq 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.03H0​:p=0.03;Ha​:p=0.03

Read the Following Problem Description Then Choose the Correct Null $\mathrm { H } _ { 0 } : \mathrm { p } \neq 0.03 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0.03$