Answer:
Option D is correct.
The margin of error accounts for all of the other listed options in a confidence interval.
Step-by-step explanation:
Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
The width around the sample mean provided by the margin of error for the population mean helps to cover a lot of factors that are usually beyond one's control for the population parameter.
All the three options provided, response bias, random chance and small sampling biases all introduce deviations from the sample mean for the population mean. Hence, the width afforded to the possible values of the population mean creates avenue for all of these factors to be incorporated and the range of values becomes more inclusive.
Hence, the width provided by the margin of error about the sample mean accounts for response biases, random chance and small sampling biases.
Hope this Helps!!!
