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

question 209

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)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:

Flat Affect

Flat affect is a term used in psychology to describe a significant lack of emotional expressiveness or reaction in an individual, often seen in some mental health disorders.

Avolition

A lack of motivation or inability to initiate and persist in goal-directed activities.

Catatonic Stupor

A state of psychic and motor immobility and behavioral abnormality marked by periods of rigidity and excitement.

Heritability

A measure of how much of the variation in a trait within a population is due to genetic differences.