A researcher believes that the reading habits of men and women are different. He takes a random sample from each population and records the response to the question, "Did you read at least one book last month?" The null hypothesis is $\mathrm { H } _ { 0 }$ : $\mathrm { p } _ { \text {women } } = \mathrm { p } _ { \text {men. } }$. Choose the correct alternative hypothesis. A) $\mathrm { H } _ { \mathrm { a } }$ : $\mathrm { p } _ { \text {women } } \mathrm { p } _ { \text {men } }$

Question

A researcher believes that the reading habits of men and women are different. He takes a random sample from each population and records the response to the question, "Did you read at least one book last month?" The null hypothesis is $\mathrm { H } _ { 0 }$ : $\mathrm { p } _ { \text {women } } = \mathrm { p } _ { \text {men. } }$. Choose the correct alternative hypothesis.
A) $\mathrm { H } _ { \mathrm { a } }$ : $\mathrm { p } _ { \text {women } } < \mathrm { p } _ { \text {men } }$
B) $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } = 0$
C) $\mathrm { H } _ { \mathrm { a } }$ : pomen $\neq \mathrm { p } _ { \text {men } }$
D) $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { \text {women } } > \mathrm { p } _ { \text {men } }$

Quizplus · Accepted Answer

The alternative hypothesis should reflect the researcher's belief that there is a difference in reading habits, which means the proportions are not equal.

A Researcher Believes That the Reading Habits of Men and Women