Moderna was the second company to gain emergency use approval for a Covid-19 vaccine in the United States. According to the study published of the FDA website1, a total of 28,207 subjects 18 years of age or older were randomly assigned to receive either a placebo or the vaccine. Of the 14,134 subjects who received the vaccine, 11 developed Covid-19. Of the 14,073 subjects assigned to the placebo, 185 developed Covid-19. Part 1. Calculate and interpret a 95% confidence interval for the difference in the proportion of people like those in the study who would develop Covid-19 when taking the placebo and the proportion who would develop Covid-19 when taking the vaccine. Part 2. Based on the confidence interval in Part 1, is there convincing evidence that the Moderna vaccine is more effective than a placebo? Explain your reasoning. Directions . Answer part 1 in detail showing all the formulas, using the 4 step plan covered in our lecture (7points). . Answer part 2 based on the confidence interval found in part 1 (2 points). . Take a clear picture of your work and upload as a pdf file by due date (1 point)