{10 total points} A standard treatment to prevent infections for burn patients is known to be effective 70% of the time. A new treatment was applied to n=50 burn patients, and 42 patients did not get an infection. Calculate and interpret a 95% confidence for the proportion of burn patients who do not get an infection when given the new treatment. Is the new treatment better than the standard treatment? Explain. {5 points each; 10 total points) A randomized clinical trial was conducted to compare an experimental medication to placebo for treating mild level arthritis. One hundred participants were in each group, with 38 people reporting a reduction in symptoms for the experimental medication group and 21 people reporting a reduction of symptoms for the placebo group. a) Calculate a 95% condence interval for the difference in proportions of people reporting a reduction in symptoms between the experimental and placebo groups. b) Interpret the condence interval from part [a]. Be sure to state which group had a higher success proportion, and by how much