Question

$1.12$Determine the type of sampling used (simple random, stratified, systematic, cluster, or convenience). A high school principal polls $50$freshmen, $50$sophomores, $50$juniors, and $50$seniors regarding policy changes for after-school activities.

Short answer

To determine the type of sampling method used

Step-by-step solution

Step 1: Given Information 

A high school principal polls$50$freshmen, $50$sophomores, $50$juniors, and$50$seniors regarding policy changes for after-school activities.

Explanation

The population is comprised of all the students at the school. This includes students in different classes. Strata are divided into classes. Students from different classes make up the entire population, which is heterogeneous. Because there is only one type of student in each stratum, each stratum is homogeneous. Thus, freshmen are in one strata, sophomores in another, and so on. Fifty students are selected from each stratum to constitute the final sample. Again, the final sample is heterogeneous, so it represents the population as a whole. This method is called stratified sampling.

Final answer 

The final sample is heterogenous and thus represents the total population. This method is described as stratified sampling.