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 thatwork part-time after school?199 to 426 students114 to 312 students195 to 430 students47 to 178 students

Answer:199 to 426 studentsStep-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 thatwork 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