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:

Average Wages

The mean earnings of workers in a specific region, industry, or occupation, reflecting the general level of compensation.

Male Workers

Individuals who are male and participate in the workforce, contributing to the labor supply in various industries and sectors.

Female Workers

Female workers are individuals who identify as female and participate in the labor force, either through employment or seeking employment.

Labor-market Discrimination

Unfair treatment of workers based on personal characteristics unrelated to their job performance or skills, such as race, gender, or age.