People who suffer from itchy eyes often use eye drops for symptom relief. An eye doctor plans to conduct a study to investigate the following claim made in an advertisement: "For people who suffer from itchy eyes, Eye Drop V is more effective in providing itch relief than Eye Drop W." The doctor will randomly assign 500 volunteers with itchy eyes to use one of two eye drops, with 250 assigned to use Eye Drop V each day and the remaining 250 assigned to use Eye Drop W each day. The doctor will record the number of people who experience itch relief after one week for each eye drop.

Describe the benefit of randomly assigning the type of eye drop to the volunteers. Why is this important?

The following segmented bar graph shows the results from the study.

For the 500 volunteers in the study, is there support for the claim made in the advertisement? Justify your answer using values from the segmented bar graph.Do not perform an inferential procedure yetfor this question.

Now, the doctor wants to conduct a hypothesis test to investigate the claim made in the advertisement. What would be the appropriatealternativehypothesis for this test?

Find and report the p-value for this test. There are multiple possible approaches (either StatKey Test for Difference in Proportions, or the z-test formulas in Chapter 6 for difference in proportions). You will need to compute the total sample size based on the numbers given in the segmented bar graph above.

What should the doctor conclude about this hypothesis test,in context?

(Note: If you were unable to do questions #16-17, then explain how the doctor would use a p-value to make a conclusion in context.)

If this hypothesis test resulted in a Type I error, what would be some potential consequences for company V and their advertisers? Please explain.