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How does Increasing the sample size while keeping the same confidence level has what effect on the margin of error?
The margin of error is reduced.
Does increasing the margin of error decrease the length of the confidence interval?
It depends on whether it is the Type I Error or the Type II Error that is increased.
How do sample size confidence level and standard deviation affect the margin of error?
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Why does the margin of error decrease as the sample size n and 8203 increases?
The margin of error decreases as the sample size ( n ) increases because a larger sample provides more information about the population, leading to more accurate estimates of population parameters. This increased accuracy reduces the variability of the results, thereby narrowing the confidence interval. Mathematically, the margin of error is inversely proportional to the square root of the sample size, meaning that as ( n ) increases, the margin of error decreases. In essence, larger samples yield more reliable data, resulting in a smaller margin of error.
99 percent confidence interval Population mean 24.4 to 38.0 find the mean sample?
if the confidence interval is 24.4 to 38.0 than the average is the exact middle: 31.2, and the margin of error is 6.8
Why does margin of error increases while level of confidence increases?
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.
What is the term used in Confidence intervals to refer to twice the margin of error?
Length
How do you find The margin of error for the confidence interval is?
Generally speaking an x% confidence interval has a margin of error of (100-x)%.
How does Increasing the sample size while keeping the same confidence level has what effect on the margin of error?
The margin of error is reduced.
What Happens To The Width Of The Confidence Interval If You Decrease The Confidence Level Decrease The Sample Size or Decrease 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.
What is meant by a 95 percent confidence interval?
Confidence IntervalsConfidence interval (CI) is a parameter with a degree of confidence. Thus, 95 % CI means parameter with 95 % of confidence level. The most commonly used is 95 % confidence interval.Confidence intervals for means and proportions are calculated as follows:point estimate ± margin of error.
Why does the margin of error increase as the confidence increases?
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.
What happens to the confidence interval if you increase the margin of error?
It depends on whether it is the Type I Error or the Type II Error that is increased.
In a poll of 100 adults 45 percent reported they believe in faith healing If the poll was based on 5000 adults would the confidence interval be wider or narrower?
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.
What happens to the confidence interval as the standard deviation of a distribution increases?
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.
Does increasing the margin of error decrease the length of the confidence interval?
It depends on whether it is the Type I Error or the Type II Error that is increased.
What determines an election poll's margin of error?
The confidence interval radius determines the margin of error. If you want more information visit: http://en.wikipedia.org/wiki/Margin_of_error
