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Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down
What is level of confidence?
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.
We are given asked when the sample size is kept the same,
What will happen to the level of confidence if the margin of error decreases?
we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)
Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,
E↑⇔C↑and E↓⇔C↓
Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .
The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.
Learn more about Level of confidence :
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