Question

A researcher wants to study how aware city residents are of current mall shopping promotions. She has developed a brief quiz and wants to estimate the average score residents would score. The researcher has decided to complete a single-stage cluster sample.

• A. The researcher would randomly select city blocks and sample all residents in the block by giving them a copy of the quiz to complete.
• B. The researcher would randomly select city blocks and randomly sample all residents in the block by giving them a copy of the quiz to complete.
• C. The researcher would randomly select telephone numbers from the local phone book and call and give the quiz to the person answering the phone.
• D. The researcher would randomly select city blocks from the different districts in the community and randomly sample all residents in the block by giving them a copy of the quiz to complete.
• E. None of the above would result in a single-stage cluster sample.

Answer 1

In single-stage cluster sample, we have to select the cluster randomly and than data is collected from the selected clusters. Here we have to first select the cluster. this can be done by selecting city blocks randomly from the different districts in the community and after selection we have to collect the full data from the cluster by giving all residents in the block a copy of the quiz to complete. Notice that in option A and B the while selecting city blocks the different district is not meantion. Thus this may lead to conclusion of only one district. But here she is interested in the city residents are of current mall shopping promotions and that include different districts. So option D is correct.