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.
spanish club not in spanish clubtotalreceived spanish class requested 265 100 365
did not get spanish class requested 70 65 135total 335 165 500
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.

We have the given the data of 500 students and it is required to see whether every student got an equal opportunity to get the Spanish class they requested.

Now, we have,

Number of students in the Spanish class who got the class they requested = 265

Number of students not in the Spanish class that got the class they requested = 100

Total number of students in Spanish class = 335

Total number of students not in Spanish class = 165

Therefore, we get that,

Probability of students in the Spanish class who got the class they requested = = 0.791

Probability of students not in the Spanish class who got the class they requested = = 0.606

This shows that all students do not get the equal chance of getting into the Spanish class they requested.

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