Researchers were investigating whether there is a significant difference between two medications, R and S, designed to reduce fleas found on cats. From a sample of 300 cat owners, the researchers randomly assigned 150 cat owners to use medication R on their cats and the remaining cat owners to use medication S. For the cats using medication R, 88 percent had no fleas. For the cats using medication S, 90 percent had no fleas. Which of the following is the most appropriate method for analyzing the results?

A two-sample z -test for a difference in population proportions

A two-sample z-test for a difference in sample proportions

A one-sample z-test for a sample proportion

A one-sample z-test for a population proportion

A one-sample z-test for a difference in sample proportions

Answer:

A) A two-sample  z -test for a difference in population proportions

Step-by-step explanation:

To determine whether a difference in proportions is significant, the two-sample z-test for a difference in population proportions is the most appropriate method for the analysis.

The most appropriate method for analyzing the results is A. A two-sample z-test for a difference in population proportions.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter.

In this scenario, we have two different treatments (medication R and S) applied to two separate samples (150 cat owners each) and we want to determine if there is a significant difference in the proportion of cats with no fleas between the two groups.

This is a classic scenario for a two-sample z-test for a difference in population proportions, which tests the hypothesis that the difference in proportions between two independent populations is equal to zero.

Thus, a two-sample z-test for a difference in population proportions.

Hence, the correct answer would be option (A)

To learn more about the z-test statistic click here:

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