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

question 160

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

• A)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0\)
• 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)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0\)

Comprehend the formulation and application of a chi-square test for categorical data analysis.

Calculate and interpret confidence intervals in the context of statistical inference.

Evaluate the effectiveness of an intervention through comparison of means using statistical software tools.

Understand the criteria and financial reporting for short-term versus long-term investments.

---

Definitions:

Hormones

Chemicals released into the bloodstream by endocrine glands.

Endocrine Glands

Glands that secrete chemicals called hormones directly into the bloodstream.

Bloodstream

The flowing blood within the circulatory system of the body, responsible for transporting oxygen, nutrients, and waste materials.

Branchlike Structures

Dendrites, the neuron parts that extend outward to receive information from other neurons.