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

question 164

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 $H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0$

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Definitions:

Jose Marti

A Cuban national hero and an important figure in Latin American literature who was a poet, essayist, and journalist, playing a key role in the fight for Cuban independence from Spain.

Revolution

A fundamental and often sudden change in political power or organizational structures that occurs when the population revolts against current authorities.

Spain

A country in southwestern Europe known for its diverse cultural heritage, rich history, and significant contributions to art, literature, and global exploration.

1895

The year 1895 marked significant global and national events, including the completion of the first movie projector by the Lumière brothers and the start of the Cuban War for Independence.