1. A simple random sample of 3,500 people age 18 or over is taken in a large town to estimate the percentage of people {age 18 or over in the town) who read newspapers. It turns out that 2,487 people in the sample are newspaper readers. (a) Make a 0-1 box by "plugging in" the fraction of 1's and 0's from the sample. (Note: I have not given you the population size, but that's ok, as long as the fraction of 1's and 0's match what you see in the sample.) {b} What is the estimated population percentage and the associated standard error? (c) If it is appropriate, find a 95%confidence interval for the percentage of all newspaper readers in the town (age 18 or over). If it is not appropriate, explain why not. 2. A survey organization takes a simple random sample of 1,500 people from the residents of a large city, with population 800,000. Among the sampled people, 1,035 were renters. (a) Fill in the blanks below with either \"exactly equal to\" or \"estimated from the data to be\": The expected value for the percentage of sampled people who rent is 69%. The SE for the percentage of sampled people who rent is 1.2%. (b) Now check the math from part (a). Are 69% and 1.2% correct? (c) Fill in the blank: A 90% confidence interval for goes from about 67% to about 71%. (d) Check the math from part (c). 3. A political organization with 100,000 members takes a simple random sample of 1,000 members and asks for their annual income in 2018. The sample average is $25,000, with a standard deviation of $20,000. 30% of the sampled members reported incomes over $50,000. A box model will be used to estimate the percentage of all the members in the organization with incomes over $50,000. (a) The tickets in the box have values of (circle one): 0 or 1 0R incomes in dollars (b) TRUE or FALSE (circle one): The histogram of the incomes in the sample approximately follows the normal curve. Explain your answer. (c) TRUE or FALSE (circle one): The probability histogram of sample percentage of members with incomes over $50,000 approximately follows the normal curve. Explain your a nswer. (d) Calculate a 95%confidence interval for the percentage of all members with incomes over $50,000