SOLVE THE GIVEN PROBLEMS. 1. In a recent survey of 850 students, it was found out that 476 of them have laptops. a. Find the sample proportion. b. Find a 95% confidence interval for the actual proportion of students who have laptops. c. Find the lower and upper confidence limits. 2. A random sample of45 students from 450 students are enrolled in summer classes. Estimate the population proportion of students taking the classes in summer with 95% confidence interval. 3. Out of 520 faculty members, 128 agreed to give an extra hour of consultation for the students. Construct a 98% confidence interval for the corresponding proportion of these faculty