SCENARIO 12-2
the Dean of a College Is Interested in the Proportion

question 161

Multiple Choice

SCENARIO 12-2
The dean of a college is interested in the proportion of graduates from his college who have a job offer on graduation day.He is particularly interested in seeing if there is a difference in this proportion for accounting and economics majors.In a random sample of 100 of each type of major at graduation,he found that 65 accounting majors and 52 economics majors had job offers.If the accounting majors are designated as "Group 1" and the economics majors are designated as "Group 2," perform the appropriate hypothesis test using a level of significance of 0.05.
-Referring to Scenario 12-2,the hypotheses the dean should use are:

• 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:

Macrophages

A variant of white blood cell that is specialized in ingesting and decomposing cellular remnants, alien substances, pathogens, and cancerous cells by means of a procedure referred to as phagocytosis.

Arrector Pili

Small muscles attached to hair follicles that, when contracted, cause hair to stand on end - a phenomenon often associated with cold or fright, known as "goosebumps."

Dermal Root Sheath

The part of the hair follicle that provides a protective layer and is involved in hair growth, derived from the dermis.

Papillary Layer

The uppermost layer of the dermis, directly underneath the epidermis, rich in blood vessels and sensory neurons.