To shorten a confidence interval, you can either increase the sample size or reduce the confidence level. Increasing the sample size decreases the standard error, leading to a narrower interval. Alternatively, lowering the confidence level (e.g., from 95% to 90%) reduces the range of the interval but increases the risk of capturing the true population parameter.
Confidence level 99%, and alpha = 1%.
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.
it would be with a level of significance of 0.15.
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.
it increases
The confidence interval becomes wider.
confidence level
Confidence level 99%, and alpha = 1%.
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.
True.
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.
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.
it would be with a level of significance of 0.15.
, the desired probabilistic level at which the obtained interval will contain the population parameter.