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23 June, 23:56

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

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Answers (2)
  1. 24 June, 01:08
    0
    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)
  2. 24 June, 01:56
    0
    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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