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

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Definitions:

Concentration

Concentration refers to the measure of the amount of a given substance within a specified volume or unit of another substance.

Tragedy of the Commons

A situation in which individual users of a shared resource act independently according to their own self-interest and deplete or spoil that resource through their collective action.

Salinization

The process by which water-soluble salts accumulate in the soil, often as a result of improper irrigation practices, leading to soil degradation and reduced agricultural productivity.

Pollutes

Introduces contaminants into a natural environment, causing harm or discomfort to organisms and ecosystems.