Math 2311 Written Homework 9 (Sections 7.1 - 7.3) Name:__________________________________ PeopleSoft ID:_______________ Instructions: Homework will NOT be accepted through email or in person. Homework must be submitted through CourseWare BEFORE the deadline. Print out this file and complete the problems. Use blue or black ink or a dark pencil. Write your solutions in the space provided. You must show all work for full credit. Submit this assignment at http://www.casa.uh.edu under \"Assignments" and choose hw9. Total possible points: 15 1. Section 7.1, a. Problem 2 Answer true and false: As the length of a confidence interval increases, the degree of confidence in its actually containing the population parameter being estimated (confidence level) also increases. b. Problem 4 A 90% confidence interval for a population mean implies that there is a 0.90 probability that the true population mean will be contained in the confidence interval. c. Problem 6 The point estimate of a population parameter is always at the center of the confidence interval for the parameter. d. Problem 8 The larger the level of confidence, the shorter the confidence interval. e. Problem 10 If we change a 90% confidence interval estimate to a 95% confidence interval estimate, the width of the confidence interval will _____. . 2. Section 7.2, Problem 6 verify all conditions are met then answer the question. In a survey conducted on an SRS of 200 American adults, 72% of them said they believed in aliens. Give a 95% confidence interval for percent of American adults who believe in aliens. 2. Section 7.2, Problem 10 verify all conditions are met then answer the question. In a survey of 100 adults, 91 of them said that they trusted DNA testing. 1. What is p , the sample proportion ofadults who trust DNA testing? 2. Find and interpret the 98% confidenceinterval for the proportion of adults that trust DNA testing. 4. Section 7.2, Problem 13 It is believed that 35% of all voters favor a particular candidate. How large of a simple random sample is required so that the margin of error of the estimate of the percentage of all voters in favor is no more than 3% at the 95% confidence level? 5. Section 7.3, Problem 4 A random sample of 288 voters registered in the state of California showed that 141 voted in the last general election. A random sample of 216 registered voters in the state of Colorado showed that 125 voted in the most recent general election. Find and interpret the 92% confidence interval for the difference between the population proportions