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

question 135

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

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Definitions:

Growth

An increase in some quantity over time, such as revenue, size, or population.

Product Life Cycle

The phases a product experiences, starting from its launch, progressing through growth and maturity, before reaching its decline in the marketplace.

Marketing Mix

The combination of factors that can be controlled by a company to influence consumers to purchase its products. It typically includes product, price, place, and promotion.

Growth

The process of increasing in size, value, or importance, often used in reference to economic, business, or personal development.