Exam 3 In order to earn full points for this assignment, it is important to show your work on this Word document, whether that means Submitting a copy of this document with handwriting, using shortcuts on your keyboard (e.g., instead of using *1 writing \"WW: taking pictures of your handwritten work and copying them to this document, or other strategies. As a reminder, you can download free screen capture software 1%. For each item, 50% of the grade will be from showing your work and 50% of your grade will be om having a correct answer. 1. From 6.1CI, D, and HT. Are metal heads more educated than other folks? In this study, researchers found that 85% of 8,700 metal heads attending a massive metal festival had a bachelor's degree or higher. Yes, your professor often Googles statistics about metal heads. Yes, she's ok with it. In a random sample of a matched group of 700 people, researchers found the average rate of bachelor's degree attainment or higher is 55%. Are metal heads (15) signicantly more educated (i.e., in terms of formal degree attainment) than non- First, nd the SE for the proportion of metal heads who have a bachelor's degree and a 95% condence mterval for the differences between metal heads and non-metal heads bachelor's degree attainment levels. Next, answer the question: What can you conclude about the following hypotheses? A. Use this formula for the standard error ofonly the proportion of metal heads who have a bachelor's degree: aom = fl. B. Use this fonnula for a 99% condence interval of only the proportion of metal heads who have a bachelor's degree: :3 iza . 'U- : C. Test the hypothesis that metal heads (13) have more education than non-metal heads (pg) Use this formula to nd a z-value, then go to Wtond a p-value: _ StatisticNull _ fipo 55' 190(1100} n D. Be sure to write a statement like \"we fail to reject the null hypothesis \" or \"we found evidence in support of the alternative hypotheses\" as a part of your interpretation