SCENARIO 10-11
the Dean of a College Is Interested in the Proportion

question 28

Multiple Choice

SCENARIO 10-11
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 10-12, the hypotheses the dean should use are:

• A)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0\)
• B)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0\)
• C)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0\)
• D)\(H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0 \text { versus } H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0\)

---

Definitions:

Whiteboard

A smooth, white surface used for writing or drawing with markers, commonly used in teaching and meetings.

Sexually Transmitted Infection (STI)

Infections that are primarily spread through sexual contact, including viruses and bacteria such as HIV, HPV, gonorrhea, and chlamydia.

Mandatory Reporting

The legal requirement for certain professionals to report suspected cases of abuse, neglect, or other specific situations to the appropriate authorities.

Disciplinary Action

Measures taken by an authority to enforce rules and regulations, often in response to a violation or misconduct.