The margin of error is dependent on the confidence interval.
I'll give you examples to understand it better.
We know:
Confidence Interval (CI) = x(bar) ± margin of error (MOE)
MOE = (z confidence)(sigma sub x bar, aka standard error of mean)
When CI = 95%, MOE = (1.96)(sigma sub x bar)
When CI = 90%, MOE = (1.64)(sigma sub x bar)
Naturally, the margin of error will decrease as confidence level decreases.
The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger the margin of error.
The width of the confidence interval willdecrease if you decrease the confidence level,increase if you decrease the sample sizeincrease if you decrease the margin of error.
It depends on whether it is the Type I Error or the Type II Error that is increased.
The confidence interval consists of a central value and a margin of error around that value. If it is an X% confidence interval then there is a X% probability that the true value of the statistic in question lies inside the interval. Another way of looking at it is that if you took repeated samples and calculated the test statistic each time, you should expect X% of the test statistics to fall within the confidence interval.
1.0966
The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger the margin of error.
The standard deviation is used in the numerator of the margin of error calculation. As the standard deviation increases, the margin of error increases; therefore the confidence interval width increases. So, the confidence interval gets wider.
The width of the confidence interval willdecrease if you decrease the confidence level,increase if you decrease the sample sizeincrease if you decrease the margin of error.
It depends on whether it is the Type I Error or the Type II Error that is increased.
No. The width of the confidence interval depends on the confidence level. The width of the confidence interval increases as the degree of confidence demanded from the statistical test increases.
Generally speaking an x% confidence interval has a margin of error of (100-x)%.
The formula for margin of error is (Z*)*(Standard Deviation))/(sqrt(N)), so as N increases, the margin of error decreases. Here N went from 100 to 5000, so N has increased by 4900. This means the margin of error decreases. Since the confidence interval is the mean plus or minus the margin of error, a smaller margin of error means that the confidence interval is narrower.
The margin of error is reduced.
Length
It depends on whether it is the Type I Error or the Type II Error that is increased.
Increase sample size.
The confidence interval radius determines the margin of error. If you want more information visit: http://en.wikipedia.org/wiki/Margin_of_error