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

question 145

Short Answer

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) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0$ 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) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0$
d) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0$

Solve systems of linear equations using different methods.

Understand and apply the concept of linear systems in practical contexts, such as break-even analysis.

Solve problems involving rates of change and simple interest.

Interpret and solve problems using matrix notation and operations.

---

Definitions:

Theory of Planned Behavior

This theory posits that human behavior is guided by three kinds of considerations: behavioral beliefs, normative beliefs, and control beliefs.

Theory of Reasoned Action

A psychological theory that explains the relationship between attitudes and behaviors within human action, suggesting that behavioral intentions are influenced by personal attitudes and the subjective norms surrounding an action.

Effort Justification

is a concept in social psychology that explains why people tend to assign greater value to outcomes they've worked hard to achieve.

Cognitive Dissonance

A state of psychological discomfort caused by holding two or more conflicting thoughts, beliefs, or attitudes.