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CONFIDENCE INTERVAL FOR THE DIFFERENCE OF TWO POPULATION PROPORTIONS Alternative Forms: ( P, - P2) - E 2-PropZInt x, / X2 = number of successes in sample #1 / #2 (b ) Enter n, I n2 = size of sample #1 / #2 C-level = confidence level EX: A study was conducted to test the effectiveness of a sweetener called xylitol in preventing ear infections in preschool children. In a randomized experiment, 159 preschool children took five daily doses of xylitol, and 46 of these children got an ear infection during the three months of the study. Meanwhile, 165 children took five daily doses of placebo syrup, and 68 of these children got an ear infection during the study. Construct a 90% confidence interval for the difference in the proportion of children that got ear infections for the control group and the xylitol group. Find the point estimate (difference between sample proportions) Determine critical value za/2 Find margin of error Construct confidence interval Does it appear that the sweetener is effective at reducing ear infections