Final answer:
A 95 percent confidence interval can be calculated using sample statistics such as mean or proportion, standard deviation, and sample size by inputting these into a statistical calculator. After setting the confidence level to 95 percent, the calculator computes the interval's bounds. This interval estimates the true population parameter with 95 percent confidence.
Step-by-step explanation:
To express a confidence interval, one needs to present the interval's lower and upper bounds. In this context, it seems you're referring to calculating a 95 percent confidence interval for a population parameter based on sample statistics. Using a statistical calculator or relevant software, you can usually input the sample mean (or proportion), standard deviation (or standard error), sample size (n), and desired confidence level (C-Level) to compute this interval.
- First, you would enter the relevant sample statistics, such as sample mean (or proportion) and standard deviation (or standard error).
- Then, input the sample size into the calculator by arrowing down to 'n' and entering the value.
- Set the confidence level by arrowing down to 'C-Level' and entering 0.95 for a 95% confidence interval.
- Finally, calculate the interval by selecting 'Calculate' and pressing ENTER. The calculator will provide the lower and upper bounds of the interval.
For example, if you have a sample size (n) of 500 and want a 95% confidence interval, entering the sample statistics into the calculator would yield a specific interval. The intervals may vary depending on the parameters you enter, and they should encompass the true population mean or proportion with the stated confidence level.
Remember, if you're calculating a mean, the confidence interval aims to estimate the true population mean, μ. For a proportion, the interval estimates the true population proportion, p. A 95 percent confidence interval suggests that if we repeated our sample many times, about 95 percent of the intervals we calculated would contain the true population parameter.