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Q: What is the critical value of z for a 96 percent confidence interval?
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What is the meaning of a 99.9 percent confidence interval?

99.9 CI means that there is a 99.9% chance the CI limits contains the value you are looking for.


What is Confidence Intervals of Critical Statistic?

Confidence intervals of critical statistics provide a range of values within which we can reasonably estimate the true value of a population parameter based on our sample data. They are constructed by calculating the critical statistic, such as the mean or proportion, and then determining the upper and lower bounds of the interval using the standard error and a desired level of confidence, usually 95% or 99%. The confidence interval helps us understand the uncertainty around our estimates and provides a measure of the precision of our results.


What happens to the confidence interval as the sample estimate increases?

Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.Assuming that other measures remain the same, as the sample estimate increases both ends of the confidence interval will increase. In effect, the confidence interval will be translated to a higher value without any change in its size.


What does it mean to have 95 percent confidence in an interval estimate?

It means that 95% of the values in the data set falls within 2 standard deviations of the mean value.


Why do you use confidence intervals?

Statistical estimates cannot be exact: there is a degree of uncertainty associated with any statistical estimate. A confidence interval is a range such that the estimated value belongs to the confidence interval with the stated probability.