The State Association of Retired Teachers Has Recently Taken Flak $H _ { 0 } : p = 0.6$

question 112

Multiple Choice

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

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Definitions:

Antigen

Any substance that causes the immune system to produce antibodies against it, which includes pathogens, foreign blood cells, and some toxins.

Chemical Barrier

A defense mechanism or physical substance that prevents or reduces the risk of infection or damage by biological or chemical agents.

Tears

Liquid produced by tear glands to lubricate, clean, and protect the eye surface, and can also be a response to emotions.

Lymphatic System

A part of the immune system that includes lymph nodes, lymph vessels, and organs, responsible for transporting lymph and removing toxins from the body.