A high school administrator determined that 22% of the students worked part-time after school with an ±8% margin of error. If th
e 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
2 answers:
Answer:
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)
Answer:
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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