Question

Which sampling method was used in each of the following settings, in order from I to IV?

I. A student chooses to survey the first 20 students to arrive at school.

II. The name of each student in a school is written on a card, the cards are well mixed, and 10 names are drawn.

III. A state agency randomly selects 50 people from each of the state’s senatorial districts.

IV. A city council randomly selects eight city blocks and then surveys all the voting-age residents on those blocks.

a. Voluntary response, SRS, stratified, cluster

b. Convenience, SRS, stratified, cluster

c. Convenience, cluster, SRS, stratified

d. Convenience, SRS, cluster, stratified

e. Cluster, SRS, stratified, convenience

Short answer

The correct answer is option (b) Convenience, SRS, stratified, cluster.

Step-by-step solution

Concept introduction

In quantitative tests, segmentation is the technique of selecting a predefined dataset from a huge population. Vary based on the type of assessment being undertaken, the measures taken to recruit from a general community may include simple chance picking or multi - stage sampling.

Explanation

In each of the following settings, from I to IV, we need to know which sampling method was utilised.

Because the first twenty students are conveniently chosen, the convenience sample or voluntary response sample is employed in I statement. Because every individual has an equal probability of being chosen, a simple random sample is utilised in the second assertion.

Because the states are the independent subgroups, stratified random sampling is used in the Ill statement.

Cluster sampling is employed in the IV statement because the subgroups are city blocks. As a result, option (b) is the proper option based on the order of sampling methods employed in the statements.