A study asked 462 American adults ages 18 and older, "Do you believe in life after death?" In addition to the life-after-death question, the participants in the study were also asked about their level of education: HS (high school), Some (some college), or College (college graduate or higher). Of the 462 adults surveyed, 175 had a high school education level, 182 had some college and 105 had a college degree or higher. For the adults with a high school education 125 believed in life after death, for the adults with some college education 100 believed in life after death, and for the adults with a college degree or higher 62 believed in life after death. a. Construct a two-way table for this dataset. Clearly label each row and column and include all row and column totals. b. Find the proportion of adults in the study that have a college education or higher. Show work for full credit, use appropriate notation and round to three decimal places as needed. c. Find the proportion of adults with a high school education level that believe in life after death. Show work for full credit, use appropriate notation and round to three decimal places as needed. d. Find the proportion of adults with a college education or higher that believe in life after death. Show work for full credit, use appropriate notation and round to three decimal places as needed. e. Find the difference between the proportion of adults with a high school education level that believe in life after death and the proportion of adults with a college education or higher that believe in life after death. Show work for full credit, use appropriate notation and round to three decimal places as needed. f. Construct a side-by-side bar chart for this data. Label each axis appropriately.