Final answer:
The pooled estimator of the population proportion is used to combine information from two independent samples to test the difference in 4) population proportions, particularly with categorical data.
Step-by-step explanation:
The pooled estimator of the population proportion is a statistical method used when we want to combine the information from two independent samples to test for the difference in population proportions.
This approach is used in hypothesis testing, particularly when dealing with categorical data that fall into two categories such as 'Success' or 'Failure', or 'Yes' or 'No'. To calculate the pooled proportion, which we denote as pc, we combine the successes and sample sizes from both samples.
The formula for the pooled proportion (pc) is the total number of successes in both groups divided by the total number of observations in both groups. Mathematically, it is expressed as:
pc = (x1 + x2) / (n1 + n2)
where x1 and x2 are the number of successes in sample 1 and sample 2 respectively, and n1 and n2 are the sizes of sample 1 and sample 2 respectively.
Therefore, the correct answer to the question 'What is the pooled estimator of the population proportion?' is:
- Sample mean
- Sample proportion
- Population mean
- Population proportion