2. An educator was trying to determine the effect of remote learning on middle school aged children. They randomly selected 250 students who spent a full year with in person learning and 190 of them showed similar or improved scores on a set of metrics. They also randomly selected 350 student who spent the year remotely learning and 252 of them showed similar or improved scores. a. Construct a 95% confidence interval for the difference of proportions. Show all intermediate calculations to receive full credit. b. Based on the confidence interval can you conclude there is a difference between the two groups?