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.

Respuesta :

According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.

How to calculate the percentage of students who received the requested classes?

To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:

  • 144 ÷ 100 = 1.44
  • 64 ÷ 1.44 = 44.44%

According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.

To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.

  • 356 ÷ 100 = 3.56
  • 315 ÷ 3.56 = 88.48%

According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.

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