The results of a nationwide survey show that 57.40% of college students have violated rules of alcohol use. The margin of error for the survey is 2.30%. What does this mean?
Isabel/Maddie/Chelsea -- please do not hide behind multiple names. Use the same name for all of your posts.
Dear Ms.Sue,
We are working as a group, each one of us has a post based on the questions we need help with, when going back it is much easier to locate our specific questions when we see our individual names.
Thank you
The margin of error is a measure of the accuracy or precision of a survey's results. It represents the degree of uncertainty or potential variability in the survey's findings. In this case, the margin of error for the nationwide survey is 2.30%.
When interpreting the survey results, you can say that based on the data collected, it is estimated that 57.40% of college students have violated rules of alcohol use. However, due to the margin of error, the actual percentage for the entire population of college students could be slightly different.
To understand the impact of the margin of error, you can consider the range within which the true population percentage is likely to fall. In this case, the range can be calculated by adding and subtracting the margin of error (2.30%) from the estimated percentage (57.40%).
So, the range would be:
(57.40% - 2.30%) to (57.40% + 2.30%)
This means that, with 95% confidence (a common confidence level), the percentage of college students who have violated rules of alcohol use is estimated to be within the range of 55.10% to 59.70%.