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?

199 to 426 students

114 to 312 students

195 to 430 students

47 to 178 students

Answer:199 to 426 students

Step-by-step explanation:

Total number of students = 1420 (number of students that work part time after school hours + number of students that don't)

number of students that work part time after school hours = 22% + / -8% margin error. The percentage ranges from (22-8) = 14% to (22+8) = 30℅

The possible number of students that

work part-time after school would be between

(14/100) * 1420=0.14*1420=198.8 which is approximately 199 students (rounding up to the nearest whole number) and

(30/100) * 1420=0.30*1420=426 students.

Option 1 is the correct option