Assignment 5 Show your work (e.g., handwritten or typed equations) for 50% of the points (the other 50% are from getting it correct). (1-) n 1. Formula for a standard error: (1-) n 2. Formula for a condence interval: ii i 2* - StatisticNull SE 3. Formula for z-score: z = The data suggest that 43.6% of a random sample of 500 Augsburg students are rst-generation students. Find the standard error (Formula #1) and a 95% condence interval (Formula #2) for the percent of Augsburg students who are the rst in their families to earn a bachelor's degree. Let's say that you nd the national average of college students who are first- generation is 24.7%. Are Augsburg students signicantly different than the expected average (the null of 24.7%)? Use Formula #3 to test that hypothesis and then statue); to nd the pvalue in a normal distribution