A study was done of children from a certain region with severe acute malnutrition. Of the 954 children randomized to receive an antibiotic treatment in addition to food, 852 recovered. Of the 954 children randomized to receive the placebo and food, 809 recovered. The trial was double-blind. Complete parts (a) through (c) below. a. Find the percentage that survived in each group, and compare the percentages descriptively. The percentage that survived in the treatment group, %, is percentage that survived in the placebo group, the %, so children who the antibiotic treatment did better. The difference in percentages (treatment minus placebo) is %. (Round to one decimal place as needed.) b. Check that the conditions are met. The Random and Independent condition The Large Samples condition The Big Populations condition The Independent Samples condition reasonably be assumed to hold. c. Find a 95% confidence interval for the difference in proportions. State whether it is plausible that the recovery rates are the same. Also state whether receiving the antibiotic treatment (and food) causes a better result than receiving the placebo (and food). The 95% confidence interval for the difference (treatment minus placebo) is ( (Round to three decimal places as needed.) c. Find a 95% confidence interval for the difference in proportions. State whether it is plausible that the recovery rates are the same. Also state whether receiving the antibiotic treatment (and food) causes a better result than receiving the placebo (and food). The 95% confidence interval for the difference (treatment minus placebo) is (Round to three decimal places as needed.) It plausible that the recovery rates are the same. It be concluded that receiving the antibiotic treatment (and food) causes a better result than receiving the placebo (and food), since this study