8:09 l LTE @) STAT 101 Assignment #6 Name: 1) Suppose that a clinical trial is conducted to evaluate a new vaccine's effectiveness in preventing COVID. In a sample of 200 patients at IWK who received the vaccine, 160 reported that they did not contract COVID during the period. Construct and interpret a 95% confidence interval. Draw the normal distribution and shade the area corresponding to the found confidence interval. 2) Zellers wants to estimate the proportion of its customers who are satisfied with their shopping experience. They want to be 90% confident that their estimate is within a margin of error of 5%. If the proportion of its customers who were satisfied with their shopping experience in 2010 was found to be 75%, then determine the required sample size to guarantee this margin of error. 3) A political science department is interested in whether a new policy initiative has decreased the proportion of students who support a particular political party. Historically, 60% of political science students supported the party. After implementing the initiative, a survey was conducted among a random sample of 100 political science students, and it was found that 45 students support the party. At a significance level of 1%, does this provide any statistically significant evidence? 4) The chemistry department at a Mount Saint Vincent University wants to investigate whether the proportion of students who participate in chemistry clubs has changed from the previously reported rate of 25%. A random sample of 120 chemistry students were surveyed, and it was found that 24 students reported being active members of a chemistry club. At a significance level of 20%, does this provide any statistically significant evidence. & moodle.stfx.ca C (M M D