Asked by CHETANDEEP SINGH on Sep 29, 2024
The sample proportion 
is a consistent estimator of the population proportion p because it is unbiased and the variance of 
is p(1 − p)/ n,which grows smaller as n grows larger.
Sample Proportion
The fraction of units in a sample that possesses a particular attribute or characteristic.
Population Proportion
The ratio of individuals in a subgroup of a population to the total population, often expressed as a percentage.
Variance
A measure of the dispersion or spread of a set of data points around their mean (average) value, indicating how far the data points are from the mean.
- Realize the pivotal influence of sample size on the exactness of estimation values.
- Examine the definitions of consistency and unbiasedness as they relate to estimators, pointing out the dissimilarities.
Learning Objectives
- Realize the pivotal influence of sample size on the exactness of estimation values.
- Examine the definitions of consistency and unbiasedness as they relate to estimators, pointing out the dissimilarities.