Question

The administration wanted to know how the students are doing now that 356 of them have returned to school for Hybrid 2.0. Of those Hybrid 2.0 students, 102 have lowered their grade in math by at least 10%. Of the 465 who have continued to stay home to work online, 110 have lowered their grade in math by at least 10%. Find the Absolute Risk Reduction of a student's grades going down by at least 10% for both groups.

Answer 1

The Absolute Risk Reduction of a student's grades going down by at least 10% for both the Hybrid 2.0 and online student groups is 4.99%.

Step-by-step explanation:

Absolute Risk Reduction (ARR) is a measure used to assess the impact of an intervention or treatment on a certain outcome. In this case, we want to find the ARR of a student's grades going down by at least 10% for both groups: Hybrid 2.0 students and students who continue to work online.

1. We start by calculating the proportion of Hybrid 2.0 students who have lowered their grade in math by at least 10%. This is done by dividing the number of Hybrid 2.0 students who lowered their grade (102) by the total number of Hybrid 2.0 students (356). The result is 0.2865.
2. We then calculate the proportion of online students who have lowered their grade in math by at least 10%. This is done by dividing the number of online students who lowered their grade (110) by the total number of online students (465). The result is 0.2366.
3. Finally, we subtract the proportion for online students from the proportion for Hybrid 2.0 students to get the Absolute Risk Reduction. ARR = 0.2865 - 0.2366 = 0.0499, or 4.99%.

Therefore, the Absolute Risk Reduction of a student's grades going down by at least 10% for both groups is 4.99%.

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