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

question 77

Short Answer

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) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$
b) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0$
c) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0$
d) $H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0$ versus $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0$

---

Definitions:

Disparate Impact

A concept in U.S. anti-discrimination law where practices in employment, housing, or other areas, although neutral in their wording, disproportionately affect a particular group.

Affirmative Action

Policies and practices designed to increase opportunities for historically disadvantaged groups by factoring in traits such as race, color, gender, religion, or national origin.

Merit Principles

Guidelines that govern the fair and impartial treatment of government employees, focusing on performance and qualifications.

Independent Sector

A term often used to describe the collection of organizations and institutions that operate outside of the government and for-profit sectors, usually encompassing nonprofits and voluntary organizations.