SCENARIO 12-1
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$

question 30

Multiple Choice

SCENARIO 12-1
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 12-1, if the firm wanted to test whether this proportion has changed from the previous study, 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:

Position Power

The authority and influence an individual holds within an organization by virtue of their role or position, allowing them to exert control over resources and decisions.

Charismatic Personality

A type of personality characterized by compelling charm, enthusiasm, and confidence that can inspire devotion in others.

Monetary Rewards

Financial incentives given to employees or individuals as recognition for their work, achievements, or performance.

Expert Power

is the influence one possesses due to their skills or expertise, which others recognize, leading to respect and the power to influence decisions or actions.