7.11 Syracuse full-time students You’d like to estimate the proportion of the 14,201 undergraduate students at Syracuse University who are full-time students. You poll a random sample of 350 students, of whom 330 are full-time.

Unknown to you, the proportion of all undergraduate students who are full-time students is 0.951. Let X denote a random variable for which x = 1 denotes full-time student and for which x = 0 denotes part-time student. (For recent enrollment numbers, go to www.syr.edu/about/

facts.html.)

a. Describe the population distribution. Sketch a graph representing the population distribution.

b. Describe the data distribution. Sketch a graph representing the data distribution.

c. Find the mean and standard deviation of the sampling distribution of the sample proportion for a sample of size 350. Explain what this sampling distribution represents. Sketch a graph representing this sampling distribution.

d. Use the Sampling Distribution app accessible from the book’s website to check your answers from parts a through

c. Set the population proportion equal to p = 0.951 and n = 350. Compare the population, data, and sampling distribution graph from the app with your graphs from parts a through c.