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.
Confidence level 99%, and alpha = 1%.
decrease
it would be with a level of significance of 0.15.
The width reduces.
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.
Confidence level 99%, and alpha = 1%.
decrease
it would be with a level of significance of 0.15.
The confidence interval becomes wider.
confidence level
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.
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.
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.
The width reduces.
It depends on whether the interval is one sided or two sided. The critical value for a 2-sided interval is 1.75
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.