A Researcher Believes That the Proportion of Women That Exercise $\mathrm { H } _ { 0 }$

A researcher believes that the proportion of women that exercise with a friend is greater than the proportion men. He takes a random sample from each population and records the response to the question, "Have you exercised with a friend at least once in the last seven days?" 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) $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } _ { \text {women } } > \mathrm { p } _ { \text {men } }$
D) $\mathrm { H } _ { \mathrm { a } }$ : $\mathrm { p } _ { \text {women } } \neq \mathrm { p } _ { \text {men } }$