A high school administrator determined that 22% of the students worked part-time after school with an ±8% margin of error. If the school has 1420 students, which would represent the possible number of students that work part-time after school?

A. 199 to 426 students

B. 114 to 312 students

C. 195 to 430 students

D. 47 to 178 students

A. 199 to 426 students

Step-by-step explanation:

Total number of students = 1420 students

Students that worked part-time = 22% with a ±8% margin of error

Therefore the possible percentage of students that worked part-time ranges between 14% - 30% due to ±8% margin of error

Students that worked part-time

Is calculated as:

a) 14% * 1420

(16: 100) * 1420 = 198.8

Approximately = 199

b) 30% * 1420

(30: 100) * 1420 = 426.

Therefore the possible number of students that work after school = 199 to 426 students.

A) 199 to 426 students

Step-by-step explanation:

We add and subtract the margin of error on the original percentage

This leaves us with 30% and 14%

30% of 1420 is 426

14% of 1420 199 (rounded to whole number)