10. A double-blind study of children from a certain region with severe acute malnutrition found that 783 of the 870 children randomized to receive an antibiotic treatment in addition to food recovered, and 747 of the 910 children randomized to receive the placebo in addition to food recovered. Calculate both a 90% confidence interval and a 99% confidence interval for the difference in the proportion/percentage that survived in each group. Decide if it is plausible that receiving the antibiotic treatment and food causes a better result than receiving the placebo and food.

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