Question

A research survey of 2,006 public and private school students in the United States (grades

10-12) between April 12 and June 12, 2016 asked students if they agreed with the Statement, "If I make a mistake, I try to figure out where I went wrong." The survey found that 86% students agreed with the statement. The margin of error for the survey is ‡3.7%. Determine the range of surveyed students that agreed with the statement.

Answer 1

Answer: the range of surveyed students that agreed with the statement is between 82.3% and 89.7%.

Step-by-step explanation: The present study's margin of error has been estimated as ±3.7%. This indicates that the reported proportion of 86% of students who concurred with the statement may exhibit a margin of error of ±3.7%, encompassing potential values lower or higher than the reported percentage figure.

To ascertain the range of students surveyed who assented to the given statement, it is essential to ascertain the uppermost and lowermost attainable percentages that the factual percentage could reveal.

The maximum attainable percentage is equivalent to the sum of 86% and 3.7%, which yields a total of 89.7%.

The minimum percentage attainable has been calculated to be 82.3% by subtracting 3.7% from the initial value of 86%. Such a formulation adheres to the precision and technical accuracy expected in academic writing.