Question 1: In studies of the placebo effect, it has been established that nausea can arise after a medicine is taken by mouth even though there is no physical cause for the distress. As a result, a placebo (a tablet consisting of inert material and free of the drug) is given to half of the patients in a drug trial. The patients have no idea if they are getting a placebo or not, and their response (nausea or no nausea) is recorded after the dose. The results are given in the following table: Nauseated Not Nauseated 35 4 46 Drug Given Placebo given 15 Using x test to conclude whether there are association between nausea and the taking of the drug? Compute the test statistics and p-values by hand and check your results using R command chisq.test()