4. In a pool of n = 1000 randomly selected adults, 250 indicated that movies are getting better. Construct a 95% confidence interval for the overall proportion of adults who say that movies are getting better. 5. A cable TV company wants to estimate the percentage of people in Alberta watching a particular station during an evening hour. An approximation is 20 percent. They want the estimate to be at the 90 percent confidence level and within 2 percent of the actual proportion. What sample size is needed? 6. Suppose the number of successes in n= 200 binomial trials is 20. (a) Find a 90% confidence interval (CI) for p, the probability of success at each trial. (b) Find a 98% CI for p. Why is this interval wider than the previous one