Directions: Solve each problem and show all supporting work. Clearly mark solutions/answers. See submission instructions in D2L. When conducting hypothesis tests, be sure to state the conclusion as a sentence relevant to the problem. 1) Suppose a clinical trial was conducted on a certain drug. Among those treated with it, 52 developed a side effect and 175 did not develop the side effect. Among other subjects given placebos, 5 developec the side effect and 40 did not. Use a 0.05 significance level to test for a difference between rates of the side effect for those treated with the drug and those treated with the placebo. Does the side effect appear to be an adverse reaction resulting from the drug? Draw a diagram illustrating your solution and show all work: [6 points].