Written step by step on paper please.

Directions: For all exercises in this section, you may assume that the requirements mentioned in this section are met; namely, all samples are simple random samples, the conditions for a binomial distribution are met, and the sample size is large enough to ensure that np 25 and n (1- p)25. Point Estimates and Confidence Intervals for Population Proportions Directions: Find each specified point estimate or confidence interval. 1. Out of 50 randomly selected students who were surveyed, 41 felt that dorm renovation should be the administration's top priority. What is the best point estimate for the proportion of all students who feel that dorm renovation should be the administration's top priority? 2. In a random sample of 130 students, only 7 had been placed in the wrong math class. What is the best point estimate for the population proportion of all students who have been placed in the wrong math class? 3. A survey revealed that 48 out of 112 randomly selected homeowners in one neighborhood pay for lawn service every month. What is the best point estimate for the population proportion of all homeowners in that neighborhood who pay for lawn service every month? 4. Out of 210 randomly selected registered voters who were polled, 107 declared that they intended to vote for the incumbent in the upcoming election. What is the best point estimate for the proportion of all registered voters who intend to vote for the incumbent? 5. Out of 50 randomly selected students who were surveyed, 41 felt that dorm renovation should be the administration's top priority. Using a margin of error of 8.9%, give the interval estimate for the proportion of all students who feel that dorm renovation should be the administration's top priority. Out of 210 randomly selected registered voters who were polled, 107 declared that they intended to vote for the incumbent in the upcoming election. Using a margin of error of 4.4%, give the interval estimate for the proportion of all registered voters who intend to vote for the incumbent