The Culminating Project

Offering career academies in high schools has becomemore popular during the past 30 years because they help studentsprepare for work and postsecondary education. A principal at alarge high school with a Science, Technology, Engineering, andMathematics (STEM) Academy is interested in determining whether thestatus of a student is associated with level of participation inadvanced placement (AP) courses. Student status is categorized as(1) STEM for students in the STEM program or (2) regular. A simplerandom sample of 200 students in the high school was taken and eachstudent was asked two questions:

1. Are you in the STEM Academy?

2. In how many AP courses are you currentlyenrolled?

The responses of the 200 students are summarized in thetable.

Level of Participation in Advanced Placement (AP)Courses	Student Status
	STEM	Regular	Total
No AP courses	17	31	48
One AP course	38	70	108
Two or more AP courses	20	24	44
Total	75	125	200

Part A: Calculate the proportion of STEM students whoparticipate in at least one AP course and the proportion of regularstudents in the sample who participate in at least one APcourse.

Part B: Is participating in two or more AP coursesindependent of student status?

Part C: Describe a method that could have been used toselect a simple random sample of 200 students from the highschool.

Part D: Is there any reason to believe there is bias inthe method that you selected? Why or why not?

Part E: The responses of the 200 students are summarizedin the segment bar graph shown.

Compare the distributions and what the graphs revealabout the association between level of participation in AP coursesand student status among the 200 students in the sample. (5points)

Part F: Do these data support the conjecture thatstudent status is related to level of participation in AP courses?Give appropriate statistical evidence to support your conclusion.(10 points)