SCENARIO 10-10
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$

question 237

Multiple Choice

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 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)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0\)
• B)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0\)
• C)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0\)
• D)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0\)

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Definitions:

Vocational Development

The process of developing one's career path, including the choice of occupation and the acquisition of necessary skills and training.

John Holland's Model

A theory of career choice that categorizes people and work environments into six distinct types to help individuals find compatible jobs.

Trait

refers to a characteristic or quality that defines an individual and influences their behavior and actions.

Developmental

Pertaining to the process of growth, change, or advancement, often used in contexts of human growth, psychology, or biology.