The Confidence Interval for the Population Proportion Essay Sample
Sample statistics, such as the sample mean or the sample proportion, can be used to estimate a population parameter (such as the population mean or the population proportion). For example, you can estimate the true mean weight of all full-term newborn babies in the entire world by collecting a sample and using that sample to generate a 95% confidence interval.
Because the sample is a relatively small portion of the entire population, errors will have to be considered. Using a sample to create a range or interval of values that estimates a population value is called a “confidence interval.”
The general “confidence interval” formula is:
(sample statistic – E) < population parameter < (sample statistic + E)
To calculate a confidence interval, the margin of error (E) must first be calculated.
The margin of error, E, for means is: E=1.96sn√ where s is the sample standard deviation and n is the sample size.
The margin of error, E, for a 95% confidence interval for proportions is: E=1.96pˆ(1−pˆ)n−−−−−√ where pˆ is the sample proportion and n is the sample size.
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