Based on her research, Aria estimates that 75% of the students at her college work while they're 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 Aria's college work while they're in school.(B) Between 70% and 75% of the students at Aria's college work while they're in school.(C) Between 72.5% and 77.5% of the students at Aria's college work while they're in school.(D) Between 74.5% and 75.5% of the students at Aria's college work while they're in school.
Q. Based on her research, Aria estimates that 75% of the students at her college work while they're 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 Aria's college work while they're in school.(B) Between 70% and 75% of the students at Aria's college work while they're in school.(C) Between 72.5% and 77.5% of the students at Aria's college work while they're in school.(D) Between 74.5% and 75.5% of the students at Aria's college work while they're in school.
Estimate Range Calculation: Aria's estimate is that 75% of the students work while they're in school, and the margin of error is 5%. To find the range of percentages, we need to add and subtract the margin of error from the estimate.
Calculate Lower Limit: Calculate the lower limit of the range by subtracting the margin of error from the estimate.Lower limit =Estimate−Margin of errorLower limit =75%−5%Lower limit =70%
Calculate Upper Limit: Calculate the upper limit of the range by adding the margin of error to the estimate.Upper limit = Estimate + Margin of errorUpper limit = 75%+5%Upper limit = 80%
Final Conclusion: Based on the calculations, Aria would agree that between 70% and 80% of the students at her college work while they're in school.
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