Alex believes the honor roll students at his school have an unfair advantage in being assigned to the science class they request

Question

1 month ago

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Alex believes the honor roll students at his school have an unfair advantage in being assigned to the science class they request

. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the science class you requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested 64 315 379
Did not get science class requested 80 41 121
Total 144 356 500

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

Mathematics

2 answers:

tester [12.3K] · Answer 1 · 2026-03-03T02:27:10+03:00

Answer:

All students at Alex's school do have an equal chance to enroll in the requested science class, regardless of honor roll status.

Step-by-step explanation:

To illustrate, a significant number of students, namely 315 out of 356, are not on the honor roll, yet they still managed to secure the science class they aimed for. There were 121 students who did not receive their requested class, which encompassed both honor roll and non-honor roll participants.

Hope this information is helpful!:)

lawyer [12.5K] · Answer 2 · 2026-03-03T02:27:03+03:00

Answer:

-The Honor Roll students appear to have a disadvantage compared to Non-Honor Roll students.

Step-by-step explanation:

-Initially, it is essential to analyze the likelihood of receiving the requested class based on honor roll status.

P(received requested class; Honor Roll) is 64/144 = 0.444, which is approximately 44%

P(received requested class; Not Honor Roll) is 315/356 = 0.884, equating to roughly 88%

-This comparison indicates that students who are not on the Honor Roll have a greater probability of obtaining their requested class than those who are.

(By the way, I completed the test)