Problem 4: Suppose we want to estimate the average number of times a middle-age adult in a town shopped online last week. However, we don't have a list of middle-age adults of this town. A simple random sampling of 100 persons is taken and only 57 out of 100 persons are middle-age adults. The following table summarizes the number of times these 57 middle-age adults shopped online last week: 1234567 Number of times shopping online 0 Number of middle-age adults 17 20 10 63001 Assume that the population of this town is much larger than 100. 1 1. Compute the estimate and its standard error. 2. Construct a 95% confidence interval for the average number of times a middle-age adult shopped online last week. 3. Further assume that this town has a population of 10,000. Estimate the total number of times all middle-age adults in this town shopped online last week. Construct a 95% confidence interval for this quantity.