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

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