A telephone poll of 1000 adult Americans was reported in an issue of Time Magazine. One of the questions asked was "[How much are] you worried about the quality of education in our schools?" 63% responded "a lot". We are interested in the population proportion of adult Americans who are worried a lot about the quality of education in our schools. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the population proportion of adult Americans who are worried a lot about the quality of education in our schools. (i) State the confidence interval. (Round your answers to four decimal places.) ( , ) (ii) Sketch the graph. = :1 CL. um i i : E F (iii) Calculate the error bound. (Round your answer to four decimal places.) |:l