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:

Rational Ways

Approaches or methods that are based on logic, reasoning, and empirical evidence.

Acculturation

The process of adaptation in which immigrants and native groups identify with a new, dominant culture by learning about that culture and making behavioral and attitudinal changes.

Self-esteem

The personal judgment of worthiness that is expressed in the attitudes the individual holds towards themselves.

Self-actualization

The realization or fulfillment of one's talents and potentialities, especially considered as a drive or need present in everyone.