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

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