SCENARIO 10-10
a Corporation Randomly Selects 150 Salespeople and Finds $\pi _ { 1 } \text { and } \pi _ { 2 }$

question 208

Short Answer

SCENARIO 10-10
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self-
improvement course would like such a course. The firm did a similar study 10 years ago in which
60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are
assumed to be independent random samples. Let $\pi _ { 1 } \text { and } \pi _ { 2 }$ represent the true proportion of workers
who would like to attend a self-improvement course in the recent study and the past study,
respectively.
-Referring to Scenario 10-10, if the firm wanted to test whether a greater proportion of workers would currently like to attend a self-improvement course than in the past, which represents the
Relevant hypotheses? a) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$
b) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0$
c) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0$
d) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0$

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Definitions:

Research Design

The framework or strategy adopted in a study to integrate different components of the research in a coherent and logical way, thus ensuring effectively addressing the research question.

Indicators

Statistical measures that are used to gauge current conditions or to forecast financial or economic trends.

UN Human Development Index

The UN Human Development Index is a statistical tool used to measure a country's overall achievement in its social and economic dimensions, such as health, education, and standard of living.

Reliability

The degree to which an assessment tool produces stable and consistent results over time.