How to calculate standard error for proportion

The precision of the proportion of a data set can be estimated by the sample proportion. However, the main difference between the standard error and standard deviation is that standard deviation is based on population parameter, whereas the standard error is based on the sample statistic. It implies that if the number of observations increases, then the standard error decreases and if the number of observation decreases, then the standard error increases.ДЄ large amount of standard deviation and standard error indicates that the observations are widely spread. The standard error of proportion is inversely proportional with the total number of observations. It implies that if the sample proportion increases, then the standard error also increases and if the sample proportion decreases, then the standard error also decreases. The standard error of proportion is directly proportional with sample proportion. , where, is defined as with number of success x and total number of observations of n. Hence, the formula for the standard error of proportion is defined as follows: It is used to find the accuracy and efficiency of the sample.Д¬onsider that p is the population proportion and is the sample proportion. It has a similar nature with standard deviation, as both are the measures of dispersion. More specifically, the standard error is the estimate of the standard deviation of a statistic. The standard error of the proportion is defined as the spread of the sample proportion about the population proportion.

How to calculate standard error for proportion