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For a 90 percent confidence interval, the alpha (α) level is 0.10, which represents the total probability of making a Type I error. This means that there is a 10% chance that the true population parameter lies outside the interval. The confidence level of 90% indicates that if the same sampling procedure were repeated multiple times, approximately 90% of the constructed intervals would contain the true parameter.

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2mo ago

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If you have a 99 confidence interval what would your confidence level and alpha for it be?

Confidence level 99%, and alpha = 1%.


What would happen to the width of the confidence interval if the level of confidence is lowered from 95 percent to 90 percent?

decrease


What is the confidence interval for 85 percent?

it would be with a level of significance of 0.15.


What happens to the confidence interval if you increase the confidence level?

The confidence interval becomes wider.


What is confidence associated with an interval estimate is called the?

confidence level


What is the most controllable method of increasing the precision of or narrowing the confidence interval?

Confidence intervals represent an interval that is likely, at some confidence level, to contain the true population parameter of interest. Confidence interval is always qualified by a particular confidence level, expressed as a percentage. The end points of the confidence interval can also be referred to as confidence limits.


The width of a confidence interval is equal to twice the value of the margin of error?

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.


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.


True or False The higher the confidence level the narrower the confidence interval?

True.


What happens to the width of the confidence interval if you decrease the confidence level?

The width reduces.


What is the critical z value that corresponds to a confidence level of 92 percent?

It depends on whether the interval is one sided or two sided. The critical value for a 2-sided interval is 1.75


What is the confidence level for a confidence interval of 46.8 to 47.2?

The confidence level for a confidence interval cannot be determined solely from the interval itself (46.8 to 47.2) without additional context, such as the sample size or the standard deviation of the data. Typically, confidence levels (e.g., 90%, 95%, or 99%) are established based on the statistical method used to calculate the interval. To find the exact confidence level, more information about the underlying statistical analysis is needed.