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:

Focused

Having or displaying sharp concentration on a particular aim, task, or subject, paying careful attention to details.

Caracole

A half-turn executed by a horse and rider, often seen in classical dressage, or a spiral staircase.

Visual Cortex

The part of the cerebral cortex responsible for processing visual information, located in the occipital lobe of the brain.

Saccadic Eye Movements

Rapid, jerky movements of the eyes that sequentially change the point of fixation, crucial in scanning the visual environment.