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 }

Question

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. $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.6$

Quizplus · Accepted Answer

The null hypothesis $ \mathrm { H } _ { 0 } : \mathrm { p } = 0.6 $ assumes that exactly 60% of the association approves the name change. The alternative hypothesis $ \mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.6 $ tests if more than 60% approve, which is necessary for a name change according to the by-laws.

Solve the Problem H0:p=0.6\mathrm { H } _ { 0 } : \mathrm { p } = 0.6H0​:p=0.6

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