The political analyst in Michigan surveys a random sample of registered Democrats and compares the results with those obtained from a random sample of registered Republicans. This would be an example of:

Answer: Independent samples

Explanation:

Independent samples are the samples that are gathered at random basis and do not have any impact on other set of samples. These samples components do not depend on other factor's values and behavior for their functioning.

According to the question, the samples compared in Michigan research contains independent samples of registered Republicans and democrats. Both the parties do not depend on each other for their processing.