Question

What do you find interesting or puzzling about estimating a Population Proportion? In a paragraph

Answer 1

When we select a random sample from the population of interest, we expect the sample proportion to be a good estimate of the population proportion. ... If a normal model is a good fit for the sampling distribution, then about 95% of sample proportions estimate the population proportion. When the variable that we’re interested in studying in the population is categorical, the parameter we are trying to infer about is the population proportion (p) associated with that variable.The population proportion in case of qualitative characteristic can be estimated in a similar way as the estimation of population mean in case of quantitative characteristic.

Estimating the value of a population proportion can be of great implication in the areas of agriculture, business, economics, education, engineering, environmental studies, medicine, law, political science, psychology, and sociology.

A population proportion can be estimated through the usage of a confidence interval known as a one-sample proportion in the Z-interval.Along with estimating the population mean proportion unbiasedly, one is generally also interested in the problem of unbiased estimation of the variance of the unbiased estimator of the parameter. The problem of unbiased estimation of the population variance is also of considerable practical interests.