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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.

Based on her research, Aria estimates that 75% 75 \% of the students at her college work while they're in school. The margin of error of her estimation is 5% 5 \% . Based on her estimate and margin of error, Aria would most likely agree with which of the following statements?\newlineChoose 11 answer:\newline(A) Between 70% 70 \% and 80% 80 \% of the students at Aria's college work while they're in school.\newline(B) Between 70% 70 \% and 75% 75 \% of the students at Aria's college work while they're in school.\newline(C) Between 72.5% 72.5 \% and 77.5% 77.5 \% of the students at Aria's college work while they're in school.\newline(D) Between 74.5% 74.5 \% and 75.5% 75.5 \% of the students at Aria's college work while they're in school.

Full solution

Q. Based on her research, Aria estimates that 75% 75 \% of the students at her college work while they're in school. The margin of error of her estimation is 5% 5 \% . Based on her estimate and margin of error, Aria would most likely agree with which of the following statements?\newlineChoose 11 answer:\newline(A) Between 70% 70 \% and 80% 80 \% of the students at Aria's college work while they're in school.\newline(B) Between 70% 70 \% and 75% 75 \% of the students at Aria's college work while they're in school.\newline(C) Between 72.5% 72.5 \% and 77.5% 77.5 \% of the students at Aria's college work while they're in school.\newline(D) Between 74.5% 74.5 \% and 75.5% 75.5 \% of the students at Aria's college work while they're in school.
  1. Estimate Range Calculation: Aria's estimate is that 75%75\% of the students work while they're in school, and the margin of error is 5%5\%. To find the range of percentages, we need to add and subtract the margin of error from the estimate.
  2. Calculate Lower Limit: Calculate the lower limit of the range by subtracting the margin of error from the estimate.\newlineLower limit =EstimateMargin of error= \text{Estimate} - \text{Margin of error}\newlineLower limit =75%5%= 75\% - 5\%\newlineLower limit =70%= 70\%
  3. Calculate Upper Limit: Calculate the upper limit of the range by adding the margin of error to the estimate.\newlineUpper limit = Estimate + Margin of error\newlineUpper limit = 75%+5%75\% + 5\%\newlineUpper limit = 80%80\%
  4. Final Conclusion: Based on the calculations, Aria would agree that between 70%70\% and 80%80\% of the students at her college work while they're in school.

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