PLEASE HELP!!!!!!!
Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below:

Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they

Question

PLEASE HELP!!!!!!! 
Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below:

Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they

anonymous · Answer

Spanish Club Not in Spanish Club Total 
Received Spanish class requested 265                   100                      365 
Did not get Spanish class requested 70                  65                       135 
Total                                                335               165                       500

anonymous · Answer

Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

kropot72 · Answer

You can calculate the following probabilities:
1. Given that a sampled student is in the Spanish Club, what is the probability they got the Spanish class they requested?
2. Given that a sampled student is not in the Spanish Club, what is the probability they got the Spanish class they requested?
If there is a significant difference between the two probabilities, it indicates there is a bias in the selection procedure.

anonymous · Answer

So, would it be p(Spanish class they requested)= 265/365?
would it be p(not in the Spanish Club)= 100/365?

anonymous · Answer

@kropot72

kropot72 · Answer

Given that a sampled student is in the Spanish Club, the probability they got the Spanish class they requested is given by 265/335.
Given that a sampled student is not in the Spanish Club, the probability they got the Spanish class they requested is given by 100/165.

anonymous · Answer

Was 365 the wrong value? Why 335 and 165?

kropot72 · Answer

335 is the number of sampled students who are in the Spanish club. 165 is the number of sampled students who are not in the Spanish club. We are looking at only the first two columns in the table.

anonymous · Answer

Oh, ok. I get, had to re-read the question

anonymous · Answer

now the question asked: Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested.

anonymous · Answer

so would I just use the first one column??

kropot72 · Answer

If a student is in the Spanish club, the probability they got the Spanish class they requested is 265/335 = 0.79.
If a student is not in the Spanish club, the probability they got the Spanish class they requested is 100/165 = 0.61.
Do you think this result is fair?

anonymous · Answer

no, based on that it's not.

anonymous · Answer

So, would that be the solution?

kropot72 · Answer

I am satisfied that the reasoning answers the question. All students do not have an equal chance of getting into the Spanish class that they requested.

anonymous · Answer

I can't put that lol but I'll have to explain it in more depth but thank you. :) Can I ask another question?

kropot72 · Answer

You're welcome. I suggest that you use my first post as a basis for your explanation.
Please post your other question as a new question.