based on her research, aria estimates that 75% of the students at her college work while theyre in school…

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.
Answer
Explanation:
Step1: Calculate lower - bound
Subtract the margin of error from the estimate. The estimate is 75% and the margin of error is 5%. So, $75 - 5=70$.
Step2: Calculate upper - bound
Add the margin of error to the estimate. So, $75 + 5 = 80$. The true proportion of students who work while in school is likely to be between 70% and 80%.
Answer:
A. Between 70% and 80% of the students at Aria's college work while they're in school.