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

question 47

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 this proportion has changed from the previous study,which represents the relevant hypotheses?

• A)H₀: \(\pi\)₁ - \(\pi\) ₂ = 0 versus H₁: \(\pi\)₁ - \(\pi\) ₂ \(\neq\) 0
• B)H₀: \(\pi\)₁ - \(\pi\)₂ \(\neq\) 0 versus H₁: \(\pi\)₁ - \(\pi\)₂ = 0
• C)H₀: \(\pi\)₁ - \(\pi\) ₂ \(\le\) 0 versus H₁: \(\pi\)₁ - \(\pi\) ₂ > 0
• D)H₀: \(\pi\)₁ - \(\pi\) ₂ \(\ge\) 0 versus H₁: \(\pi\)₁ - \(\pi\) ₂ < 0

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Definitions:

Facial Muscles

Muscular structures in the face responsible for expressions and movements, such as smiling or frowning, contributing to nonverbal communication.

Basic Emotion

Universal emotions that are experienced by all humans across cultures, including happiness, sadness, fear, disgust, surprise, and anger.

Facial-Feedback Hypothesis

The idea that facial movements can influence emotional experience, suggesting that smiling can make you feel happier.

Emotional Experiences

The personal feelings and reactions that an individual has in response to various stimuli or situations.