A University Dean Is Interested in Determining the Proportion of Students

question 133

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. The 95% confidence interval for π is 0.59 ± 0.07. Interpret this interval.

• A) We are 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66.
• B) 95% of the students get between 52% and 66% of their tuition paid for by financial aid.
• C) We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.
• D) We are 95% confident that 59% of the students are on some sort of financial aid.

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Definitions:

Counseling Psychology

A field of psychology focused on facilitating personal and interpersonal functioning across the lifespan, emphasizing emotional, social, vocational, educational, health-related, developmental, and organizational concerns.

Mental Illness

A wide range of mental health conditions that affect mood, thinking, and behavior, impacting day-to-day living and possibly requiring medical treatment.

Bystander Effect

Bystander Effect is a social psychological phenomenon where individuals are less likely to offer help to a victim when other people are present, often due to the diffusion of responsibility.

Helplessness

A state of being unable to act or achieve goals due to perceived lack of control, often resulting in decreased motivation.