When studying a population, there will be certain attributes or characteristics that we are trying to determine to understand the nature of some aspect of that population.
If we take multiple random samples from a large population, and find the sample proportions of the favourable attribute in each sample, we can use these statistics to make an estimate of the population proportion of the attribute.
The Central Limit Theorem establishes that , in a situation where multiple samples are randomly generated, the distribution of the sample proportions will be closely approximated by the Normal Distribution.
A statistical parameter is a quantity that describes some aspect of the whole population. After observing a large number of random samples we can use probability to determine the likelihood of the parameter using confidence intervals.