Question

At Central High School, 28% of the students are Freshmen, 26% are Sophomores, 24% are Juniors, and 22% are Seniors. The student manager of the school newspaper would like to conduct a survey to estimate the proportion of each class that plans to attend the upcoming Football game. She suggests surveying a random sample of 100 students, but specifically by selecting random samples of 28 Freshmen, 26 Sophomores, 24 Juniors, and 22 Seniors. Which of the following is a true statement about this sampling procedure?a. This is simple random sample because student of every class has equal number of chances to be selectedb. This cluster random samplec. This is convenience sample as only 100 students are surveyed, which is a manageable sized. This is a stratified random sample because a separate random sample is selected from each class

Answer 1

Answer:

This is a stratified random sample because a separate random sample is selected from each class

Explanation:

Stratified random sampling is an appropriate method when the population consists of mixed characteristics and you would like to ensure that every characteristic is proportionally represented in the sample. In this example, the population is the students from Central High School and the mixed characteristics are the different classes such as Freshman students, Sophomore students, Juniors and Seniors.

After the population is divided into subgroups based on characteristics, from the overall proportion of the population, you calculate how many people should be sampled in each subgroup. Random or systematic sampling can then be used to select a sample from each subgroup.