Confidence Intervals Homework 5 Problem Set # 3 3.1 Two individuals are running for mayor of your city. You conducted an election survey a week before the election and found that 51 % of the respondents preferred candidate A. At the 99% level, can you predict a winner? (3 pts) Note: show calculations, report lower and upper limits within the blanks using two decimals, and answer final questions. Can you predict a winner? ()Yes ()No Lower limit= Upper limit = Page 4 of 4 Confidence Intervals Homework 5 2.3 When asked to agree or disagree that \"marijuana should be legalized,\" 375 agreed. (3 pts) Therefore, at the 95% level, between % and % of the population favors marijuana legalization. Lower limit= Upper limit = 2.4 In the survey, 1023 of the sample said they had attended a church, synagogue, mosque, or another place of worship at least once within the past month. (3 pts) Therefore, at the 95% level, between __ %and ____ % of the population in that metropolitan area visited a place of worship at least once a month. Lower limit= Upper limit = 2.5 In the survey, 800 agreed that public elementary schools should have sex education programs starting in the fifth grade. (3 pts) Therefore, at the 95% level, between _ % and % of the population in that metropolitan area agreed on starting sex education programs in public elementary schools since fifth grade. Lower limit= Upper limit = Page 3 of 4 Confidence Intervals Homework 5 1.4 On average, the sample had missed 3.5 days of classes per semester for reasons other than illness, with a sample deviation of 1.5. (3 pts) Therefore: At the 99% level, students had missed between and days of classes per semester for reasons other than iliness. Lower limit= Upper limit = Problem Set # 2 A random sample of 1496 respondents from a major metropolitan area was questioned about several issues. Construct population estimates at a 95% level for each of the results reported next. Find the initial proportions, and express the lower and upper limits in percentages. Note: show calculations and report lower and upper limits within the blanks using two decimals. 2.1 When asked to agree or disagree with the statement "Internet pornography leads to rape and other sex crimes," 823 agreed. (3 pts) Therefore, at the 95% level, between % and % of the population agrees with this statement. Lower limit= Upper limit = 2.2 When asked to agree or disagree with the statement, "Handguns should be allowed," 650 agreed. Therefore, at the 95% level, between % and % of the population agrees with this statement. (3 pts) Therefore, at the 95% level, between % and % of the population agrees with this statement. Lower limit= Upper limit = Page 2 of 4 Confidence Intervals Homework 5 Problem set # 1 A random sample of 429 college students was interviewed about several matters. Use the results to construct confidence interval estimates of the population mean at the 99% level. Note: show calculations and report lower and upper limits within the blanks using two decimals. 1.1 They reported spending an average of $ 478.23 on textbooks during the previous semester, with a sample standard deviation of $ 15.78. (3 pts) Therefore: At the 99% level, the students spent between and on textbooks. Lower limit= Upper limit = 1.2 They also reported visiting the health clinic an average of 1.5 times a semester, with a sample standard deviation of 0.3. (3 pts) Therefore: At the 99% level, the students visited the health clinic between ~ and times on average. Lower limit= Upper limit = 1.3 On the average, the sample had missed 2.8 days of classes per semester because of illness, with a sample standard deviation of 1.0. (3 pts) Therefore: At the 99% level, students had missed between ____and ___ days of classes per semester. Lower limit= Upper limit = Page 1 of 4