Testing Laboratory Gloves: The New York Times ran an article about a study in which Professor Denise Korniewicz and other John Hopkins researchers subjected laboratory gloves to stress. Among 240 vinyl gloves, 151 gloves leaked virus. Among 240 latex gloves. 1? leaked virus. At the 1% signicance level. test the claim that vinyl gloves have a higher virus leak rate than latex gloves. Let: p1= proportion of vinyl gloves that leaked virus and = proportion of latex.r gloves that leaked virus. Perform the hypothesis test, using the 5-step process: a} State Ho and H1 in symbols only. Identify which hypothesis is the claim and determine he type of test [right-tail, left-toil. two tail]. b} Determine the critical values and label it -- for example. 2 = 1.95 ort = 2.421, etc}. cl Compute the test value. If you are using the p-value method, then include the p-value of the test. d} Make the decision to Reject Ho or Do not reject Ho. e) State your complete conclusion in the context of the claim. Hypnotisn'l in Reducing Pain: a study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given in the accompanying table. The values are before and after hypnosis, the measurements are in centimeters on a pain scale. At 5% test the claim that the sensory measurements are lower after hypnosis. \"nunu "mun --------n Letg E \"3:0 a} State H1 in symbols and in words. Identify which hypothesis is the claim and determine the type of test [right-toil. left-milr two toil}. bl Determine the critical value and label it [for example, 2 = 1.96 or t= -2.421. etc}. c] Compute the test value. If you are using the p-value method, then include the p-value of the test. d} Make the decision to Reject Ho or Do not reject Ho. e} tate your conclusion