Question

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown below: Art class and in art club: 100 Art class and not in art club: 265 Total in art class: 365 Not in art class and in art club: 65 Not in art class and not in art club: 70 Total not in art class: 135 Total in art club: 165 Total not in art club: 335 Total students: 500 Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

Answer 1

I'm a little late but for other ppl:

If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.

As a non-art club member, you have a 79% chance of being assigned to the art class they request.

As an art club member, you have a 61% chance of being assigned to the art class they request.

Explanation:

265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.

Total not in art club 335/ Total students 500= 0.791= 0.79%

Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%

Non art club requested 79% against art club requested 61%.