Lymphatic filariasis is a disease caused by a parasitic worm. Complications of the disease can lead to extreme swelling and other complications. Here we consider results from a randomized experiment that compared three different drug treatment options to clear people of this parasite, which people are working to eliminate entirely. The results for the second year of the study are given below:
Clear at year 2 Not clear at year 2
Three drugs 52 2
Two drugs 31 24
One drug 42 14
Test the hypotheses for evaluating whether performance of the treatments is independent of the status of the parasite. Hint, you can use the following information: The Chi-square statistic for the above observed data under the assumption of the null hypothesis true is X^2 = 23.7. Also, you can assume any necessary assumptions are satisfied, but make sure to specify any necessary conditions, and state your conclusion in the context of the problem.