A University Dean Is Interested in Determining the Proportion of Students

question 13

Multiple Choice

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 95 % confidence interval to estimate the true proportion of students on financial aid. Express the answer in the form $\hat { p } \pm E$ and round to the nearest thousandth.

• A) \(0.59 \pm 0.068\)
• B) \(0.59 \pm 0.002\)
• C) \(0.59 \pm 0.474\)
• D) \(0.59 \pm 0.005\)

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Definitions:

Dramaturgical Sociology

A perspective in sociology, introduced by Erving Goffman, that likens social life to a theatrical performance where individuals present themselves in ways that will be accepted by others.

Scientific Method

A systematic and empirical method of investigation involving observation, hypothesis formation, experimentation, and conclusion to acquire or refine knowledge.

Democratic Revolution

A fundamental change in political power or organizational structures that occurs when the population revolts against the existing regime to establish a more democratic system.

Evidence

Information or facts presented to support or refute a claim, often used in legal contexts.