A study published in the British Medical Journal (January 2012) sought to determine whether exercise would help extend the lives of patients who have had non fatal heart attacks. A sample of 800 patients with heart failure was recruited; 390 received exercise training and 410 did not. There were 78 deaths among the exercise group and 114 among those who did not exercise. Can researchers infer at the 5% significance level that exercise training reduces the death rate of persons who have previously suffered heart attacks? Solve manually (show all work) and by Mega Stat only. Indicate your hypotheses, decision rule, statistical decision and management conclusion using the critical value and then find the p-value and state your decision rule, statistical decision and management conclusion using this method.