Ahigh 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.

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