b. Construct 1 0 00 confidence intervals with n = 100, p = 0.S. What proportion of the 99% confidence intervals included the population proportion, 0.3? Reset and Construct another 1,000 confidence intervals with n = 100, p = 0.3. What proportion of the 99% confidence intervals included the population proportion, 0.3? Did the same proportion of intervals include the population proportion each time? What proportion did you expect to include the population proportion in each part? Exploring the role of sample size: a. Construct 1,000 confidence intervals with n = 10, p = 0.3. What proportion of the 95% confidence intervals included the population proportion, 0.3