SCENARIO 12-1 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 12-1,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

Question

SCENARIO 12-1 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 12-1,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

Quizplus · Accepted Answer

The correct hypotheses for testing if the proportion has changed are the null hypothesis stating there is no difference between the two proportions (equal to 0) and the alternative hypothesis stating there is a difference (not equal to 0).

SCENARIO 12-1 a Corporation Randomly Selects 150 Salespeople and Finds π\piπ

SCENARIO 12-1
a Corporation Randomly Selects 150 Salespeople and Finds $\pi$