Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He surveyed 500 students at his school with 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 Club | Total |
|-----------------------------|--------------|---------------------|-------|
| Received Spanish class requested | 265 | 100 | 365 |
| Did not get Spanish class requested | 70 | 65 | 135 |
| Total | 335 | 165 | 500 |

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.

1. Josh requested for a Spanish club then asked his students how many got the Spanish class and how many did not.
So he asked 500 students for the questions:
The result was
=> got the Spanish class = 265 100 365
=> did not = 70 65 135
=> The total was 335 165 500
Thus, this show that only 335 students were able to get the Spanish class they requested and there are still 165 students do not received any Spanish class.
Thus, this is not fair to the other students.

Answered by taskmasters | 2024-06-10

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 = 335 265 ​ = 0.791
Probability of students not in the Spanish class who got the class they requested = 165 100 ​ = 0.606
This shows that all students do not get the equal chance of getting into the Spanish class they requested. ;

Answered by wagonbelleville | 2024-06-11

Josh's survey results show that students in the Spanish club have a higher probability of getting their requested Spanish class compared to those not in the club. Specifically, about 79.1% of club members received their request, while only about 60.6% of non-club members did. This suggests an unfair advantage for club members in the Spanish class assignment process.
;

Answered by wagonbelleville | 2024-11-12