SCENARIO 10-10
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$

question 237

Multiple Choice

SCENARIO 10-10
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 10-10, if the firm wanted to test whether a greater proportion of workers would currently like to attend a self-improvement course than in the past, 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:

Reasonable Care

The degree of caution and concern an ordinarily prudent and rational person would use in similar circumstances.

Parcel

A piece of land, property, or object that is to be delivered or considered as a unit.

Free Parking

A space or area where vehicles can be parked without charge, often found in public areas or as part of commercial or residential properties.

Liability

Legal responsibility for one's actions or omissions, often resulting in the obligation to pay damages or compensation for any harm caused.