Question: Equivalence of Hypothesis test and confidence Interval. Two different simple random samples are drawn from two different populations. The first sample consist 20 people with 10 having a common attribute. The second sample consists of 2000 people with 1404 of the having the same common attribute. Compare the results from hypothesis test \({{p}_{1}}={{p}_{2}}\) (with a 0.05 significance level) and 95% confidence interval estimate of \({{p}_{1}}-{{p}_{2}}\)