A principal at a large high school with a (STEM) Academy is interested in determining whether the status of a student is associated with level of participation in advanced placement (AP) courses. Student status is categorized as (1) STEM for students in the STEM program or (2) regular. A random sample of 200 students in the high school was taken and each student was asked two questions:

1. Are you in the STEM Academy?
2. In how many AP courses are you currently enrolled?

The responses of the 200 students are in the table.

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

A: Calculate the proportion of STEM students who participate in at least one AP course and the proportion of regular students in the sample who participate in at least one AP course.

2:Is participating in two or more AP courses independent of student status?

3:Describe a method that could have been used to select a simple random sample of 200 students from the high school.

4:Is there reason to believe that there is bias in the method you selected? Why or why not?

5:The responses of the 200 students are summarized in the segment bar graph shown below.

Compare the distributions and what the graphs say about the association between the level of participation in AP courses and the student status among the 200 students in the sample.

6:Do these data support the conclusion that student status is related to level of participation in AP courses? Give statstical evidence to support your conclusion.