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

question 91

Multiple Choice

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

Analyze the organization of information in a paragraph to determine the main point or topic sentence.

Apply critical thinking to solve problems related to the organization of comparative and contrastive information.

Understand the concepts of margin of error, confidence interval, and sample size in the context of statistical polling and inference.

Calculate confidence intervals for proportions and means from given data.

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Definitions:

Food Desert

A community in which the residents have little or no access to fresh, affordable, healthy foods, usually located in densely populated urban areas.

Grocery Store

A retail establishment that sells food and other household goods.

Liquor

Alcoholic beverages that are distilled rather than fermented, resulting in a higher alcohol content.

Food Desert

Areas with limited access to affordable and nutritious food, often found in urban and rural low-income neighborhoods.