TABLE 10-11
a Corporation Randomly Selects 150 Salespeople and Finds $H_{0}: \pi_{1}-\pi_{2}=0$

question 25

Multiple Choice

TABLE 10-11
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 ×and × 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 Table 10-11, if the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses?

• A)\( H_{0}: \pi_{1}-\pi_{2}=0 \) 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)\( H_{0}: \pi_{1}-\pi_{2} \geq 0 \) versus \( H_{1}: \pi_{1}-\pi_{2}<0 \)
• D)\( H_{0}: \pi_{1}-\pi_{2} \leq 0 \) versus \( H_{1}: \pi_{1}-\pi_{2}>0 \)

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Definitions:

Punishment

A consequence imposed for breaking a law, rule, or contract, intended to serve as a deterrent to unwanted behavior.

Organizational Forces

Various pressures or influences within an organization that shape its culture, behaviors, and decision-making processes.

Right Thing

Acting in accordance with moral principles, ethical standards, or laws, especially when faced with a difficult decision or situation.

Financial Gain

The increase in monetary resources resulting from investing activities or other forms of economic enterprise.