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Unit test
Google Classroom
Microsoft Teams
Nate predicted that voter turnout for the next citywide election will be 
23%, with a margin of error of 
3%. Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?
Choose 1 answer:
(A) Between 
20% and 
26%
(B) Between 
21.5% and 
24.5%
(c) Between 
23% and 
26%
(D) Between 
23% and 
29%

Unit test\newlineGoogle Classroom\newlineMicrosoft Teams\newlineNate predicted that voter turnout for the next citywide election will be 23% 23 \% , with a margin of error of 3% 3 \% . Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?\newlineChoose 11 answer:\newline(A) Between 20% 20 \% and 26% 26 \% \newline(B) Between 21.5% 21.5 \% and 24.5% 24.5 \% \newline(c) Between 23% 23 \% and 26% 26 \% \newline(D) Between 23% 23 \% and 29% 29 \%

Full solution

Q. Unit test\newlineGoogle Classroom\newlineMicrosoft Teams\newlineNate predicted that voter turnout for the next citywide election will be 23% 23 \% , with a margin of error of 3% 3 \% . Which of the following represents the plausible range of voter turnout based on Nate's prediction and margin of error?\newlineChoose 11 answer:\newline(A) Between 20% 20 \% and 26% 26 \% \newline(B) Between 21.5% 21.5 \% and 24.5% 24.5 \% \newline(c) Between 23% 23 \% and 26% 26 \% \newline(D) Between 23% 23 \% and 29% 29 \%
  1. Identify Prediction and Margin: Identify Nate's prediction and margin of error. Prediction: 23extextpercent23 ext{ extpercent} Margin of error: 3extextpercent3 ext{ extpercent}
  2. Calculate Lower Bound: Calculate the lower bound of the range. Lower bound = PredictionMargin of error\text{Prediction} - \text{Margin of error} Lower bound = 23%3%=20%23\% - 3\% = 20\%
  3. Calculate Upper Bound: Calculate the upper bound of the range. Upper bound = Prediction+Margin of error\text{Prediction} + \text{Margin of error} Upper bound = 23%+3%=26%23\% + 3\% = 26\%
  4. Combine Bounds to Form Range: Combine the lower and upper bounds to form the range. Range = Between 20%20\% and 26%26\%

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