TABLE 12-5
a Corporation Randomly Selects 150 Salespeople and Finds $H_{0}: \pi_{1}-\pi_{2}=0$

question 1

Multiple Choice

TABLE 12-5
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 u₁ and u₂ 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 12-5, 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) \( H_{0}: \pi_{1}-\pi_{2} \leq 0 \) 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) \( H_{0}: \pi_{1}-\pi_{2} \neq 0 \) versus \( H_{1}: \pi_{1}-\pi_{2}=0 \)

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Definitions:

Acquired Immune Deficiency Syndrome

A life-threatening condition caused by the human immunodeficiency virus (HIV) that severely damages the immune system.

Human Immunodeficiency Virus

A virus that attacks the immune system, the body's natural defense against illness, and can lead to AIDS if not treated.

Immune System

The body's defense mechanism against infections and diseases, comprising organs, tissues, cells, and proteins that work together to protect the body.

Human Immunodeficiency Virus (HIV)

A virus that attacks the human immune system, depleting the body’s ability to fight infection; the infection that causes AIDS.