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Using random sample data, an analyst estimated that in an upcoming election, a candidate will receive 45% of the votes. The margin of error for this estimation is 4%. Which of the following is the most appropriate conclusion based on the given estimate and margin of error? Choose 1 answer: (A) The candidate will receive exactly 45% of the votes. (B) The candidate will receive between 41% and 45% of the votes. (C) The candidate will receive between 45% and 49% of the votes. (D) The candidate will receive between 41% and 49% of the votes.

Using random sample data, an analyst estimated that in an upcoming election, a candidate will receive 45%45\% of the votes. The margin of error for this estimation is 4%4\%. Which of the following is the most appropriate conclusion based on the given estimate and margin of error?\newlineChoose 11 answer:\newline(A) The candidate will receive exactly 45%45\% of the votes.\newline(B) The candidate will receive between 41%41\% and 45%45\% of the votes.\newline(C) The candidate will receive between 45%45\% and 49%49\% of the votes.\newline(D) The candidate will receive between 41%41\% and 49%49\% of the votes.

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Q. Using random sample data, an analyst estimated that in an upcoming election, a candidate will receive 45%45\% of the votes. The margin of error for this estimation is 4%4\%. Which of the following is the most appropriate conclusion based on the given estimate and margin of error?\newlineChoose 11 answer:\newline(A) The candidate will receive exactly 45%45\% of the votes.\newline(B) The candidate will receive between 41%41\% and 45%45\% of the votes.\newline(C) The candidate will receive between 45%45\% and 49%49\% of the votes.\newline(D) The candidate will receive between 41%41\% and 49%49\% of the votes.
  1. Margin of Error Explanation: Understand the concept of margin of error. The margin of error in a statistical estimate represents the range within which the true value is expected to lie with a certain level of confidence. In this case, the margin of error is 4%4\%, which means the true percentage of votes the candidate will receive could be 4%4\% higher or lower than the estimated 45%45\%.
  2. Calculate Lower Bound: Calculate the lower bound of the estimate.\newlineTo find the lower bound, subtract the margin of error from the estimated percentage.\newlineLower bound = Estimated percentage - Margin of error\newlineLower bound = 45%−4%45\% - 4\%\newlineLower bound = 41%41\%
  3. Calculate Upper Bound: Calculate the upper bound of the estimate.\newlineTo find the upper bound, add the margin of error to the estimated percentage.\newlineUpper bound =Estimated percentage+Margin of error= \text{Estimated percentage} + \text{Margin of error}\newlineUpper bound =45%+4%= 45\% + 4\%\newlineUpper bound =49%= 49\%
  4. Determine Range: Combine the lower and upper bounds to determine the range.\newlineThe candidate is estimated to receive between 41%41\% and 49%49\% of the votes, taking into account the margin of error.

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