A Researcher Would Like to Learn About the Difference in Proportions

question 39

Essay

A researcher would like to learn about the difference in proportions of students and faculty who support textbook price caps. The researcher gathers a random sample of 500 students and 500 faculty members and asks whether or not they support textbook price caps. Of the 500 students, 378 say they support capping textbook prices and of the 500 faculty members 256 say they support capping prices.
a.Determine if the large sample confidence interval procedure can be used for estimation.
b.Create a 95% confidence interval for the difference of the population proportions.
c.Interpret the confidence interval.

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Definitions:

Accurate Representation

A depiction or description that closely matches the true characteristics or facts of a subject.

Brains

The organ in the head of vertebrates that controls the body's functions and enables it to think, feel, and remember.

Skeptical

Having an attitude of doubt or a disposition to incredulity either in general or toward a particular object.

Immanuel Kant

A German philosopher in the 18th century, known for his work in epistemology, ethics, and aesthetics, emphasizing duty, moral law, and the categorical imperative.