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:

Preoperational

A stage in Jean Piaget’s theory of cognitive development during which children from about 2 to 7 years old develop memory and imagination, but are not yet able to perform operations (logical reasoning tasks).

Sensorimotor

A developmental stage in early childhood where learning occurs through interacting with the environment using basic motor and sensory skills.

Formal Operational

Formal operational is a stage in Piaget's theory of cognitive development where individuals gain the ability to think abstractly, logically, and systematically, typically developing during adolescence.

Postoperational

A stage in Jean Piaget's theory of cognitive development where children ages 7 to 11 start to use logic and operational thinking but are not yet able to handle abstract reasoning.