Final answer:
To determine the margin of error (MOE) surrounding a sample statistic, use the formula: MOE = z * (standard deviation / square root of sample size), where z is the z-score associated with the desired level of confidence.
Step-by-step explanation:
The margin of error (MOE) surrounding a sample statistic is determined by various factors such as the desired level of confidence and the sample size.
To determine the MOE, you can use the formula: MOE = z * (standard deviation / square root of sample size), where z is the z-score associated with the desired level of confidence.
For example, if you have a sample of 100 with a standard deviation of 10 and you want a 95% confidence level (which corresponds to a z-score of 1.96), the MOE would be: MOE = 1.96 * (10 / sqrt(100)) = 1.96 * 1 = 1.96.