Solve the Problem $\mathrm { H } _ { 0 } : \mathrm { p } = 0.6$

Multiple Choice

Solve the problem.
-The State Association of Retired Teachers has recently taken flak from some of its members regarding the poor choice of the association's name. The association's by-laws require that more than 60 percent of the association must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if meeting is necessary. Identify the null and alternative hypothesis that should be tested to determine if a name change is warranted.

A) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.6$ vs. $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.6$
B) $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.6$ vs. $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.6$
C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.6$ vs. $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.6$
D) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.6$ vs. $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.6$