Question

based on her research, aria estimates that 75% of the students at her college work while theyre in school. the margin of error of her estimation is 5%. based on her estimate and margin of error, aria would most likely agree with which of the following statements?
choose 1 answer:
a between 70% and 80% of the students at arias college work while theyre in school.
b between 70% and 75% of the students at arias college work while theyre in school.
c between 72.5% and 77.5% of the students at arias college work while theyre in school.
d between 74.5% and 75.5% of the students at arias college work while theyre in school.

Explanation:

Step1: Calculate lower - bound

Subtract the margin of error from the estimate. $75\% - 5\%=70\%$.

Step2: Calculate upper - bound

Add the margin of error to the estimate. $75\%+5\% = 80\%$.

Answer:

A. Between 70% and 80% of the students at Aria's college work while they're in school.