Interpret A Confidence Interval. Plugging in that value in the confidence interval formula the confidence interval for a 99 confidence level is 8143 to 8857. The range of a confidence interval is higher for a higher confidence level. A Confidence Interval CI is the range of values the true value in the population is expected to fall within based on the study results. In contrast to point estimation which is a single value a confidence interval is a range of values obtained based on the sampling distribution and the empirical rule.
In other words the confidence interval represents the amount of uncertainty expected while determining the sample population estimate or mean of a true population. Confidence intervals are one way to represent how good an estimate is. The correct interpretation of this confidence interval is that we are 95 confident that the proportion of all 12th grade females who always wear their seatbelt in the population is between 0612 and 0668. A Confidence Interval CI is the range of values the true value in the population is expected to fall within based on the study results. In the picture above mu in the middle is the best estimate and. This is not the case.
Because the true population mean is unknown this range describes possible values that the mean could be.
The range of a confidence interval is higher for a higher confidence level. McClave and MyStatLab problem 9339. The range of a confidence interval is higher for a higher confidence level. A confidence interval provides an estimate of the population parameter and the accompanying confidence level indicates the proportion of intervals that will cover the parameter. Confidence intervals are one way to represent how good an estimate is. Say someone said the following statement.