2. The article \"Determination of Carboxyhemoglobin Levels and Health Effects on Ofcers Working at the Istanbul Bosphorus Bridge\"1 presents assessments of health outcomes of people working in an environment with high levels of carbon monoxide (CO). Following are the numbers of workers reporting various symptoms, categorized by work shift. Morning Evening Night Inuenza 18 Headache 6 Weakness 5 Shortness of Breath 7 9 9 We want to know whether we can conclude that the proportions of workers with the various symptoms differ among the shifts. 2(a) [6 pts] Construct the appropriate hypotheses for the desired hypothesis test. 2(b) [5 pts] Compute the appropriate test statistic. 2(c) [6 pts] State the distribution this test statistic follows under the null hypothesis, nd and report the appropriate pvalue. 2(d) [7 pts (3 pts for formal conclusion; 4 pts for contextual meaning] Make a conclusion at the 5% signicance level (state your conclusion formally in terms of whether you reject the null hypothesis or not, and then also say what your conclusion means in the context of the rates workers experience the different symptoms)