At a particular college, 35% of all students have a bike on campus (so 35% istheparameterfor the population of students at this college). A news reporter, unaware of this parameter value, plans to take a random sample of 100 students. The reporter remembers that the proportion in the sample who have a bike on campus will vary from one random sample of 100 students to the next, but does not remember what the model will look like.

6a.) You are asked to provide for the reporter the following:

• The approximate model for the sample proportion of students who will have a bike on campus in a random sample of 100 students. Include appropriate numerical support for your model choice.
• A complete sketch of the approximate model for thesample proportion ofstudents who will have a bike on campus in a random sample of 100 students. Be sure to include 1) the complete distribution label, 2) the X axis label, and 3)three relevant values on the X axis.

6b.) The reporter takes a random sample of 100 college students from this particular college, and finds that in her sample, 48 students have a bike on campus. If the reporter assumes that in fact 35% of all college students at this particular college have a bike on campus, how likely is it to obtain a sample with result like the one she got or something larger, under this assumption? Are these sample results "usual" or "unusual" under this assumption? In other words, based on the reporter's sample, is there sufficient evidence to suggest thatthe population proportion of all students who have a bike on campus at this particular college is higher than the stated value 35%? Provide appropriate numerical justification.