3. Combining Proportions The Pew Research Foundation is a " nonpartisan fact tan k" that conducts numerous careful surveys both nationally and internationally. The data below are from various Pew surveys in 2018 and 2019. Remember the advice to draw diagrams. For the arithmetic, you can use the cell below the question. a) In 2018, the adult population of the US was about 8.5 times the adult population of Canada. The percent of adults who didn't own a cell phone was 25% in Canada and only 6% in the US. Suppose you had picked one person at random from the combined adult population in the US and Canada in 2018. Pick the correct option below; if you pick (iii), fill in the blank with the chance. Given that the selected person didn't own a cell phone, the chance that the person was from the US is L ~ A (D 6+25 N 5 (ii) not possible to find based on the information given (iii) neither of the above; the chance is equal to b) In 2019, the Pew Foundation surveyed US adults to ask if they had read books in print or digital formats in the past 12 months. Of the surveyed adults, - 1% did not respond . 27% responded that they had not read a book in any format in the past 12 months - 65% responded that they had read a print book in the past 12 months . 35% responded that they had read a digital book in the past 12 months Suppose you picked one of the surveyed adults at random. Find the chance that the selected person responded that they had read both a print book and a digital book in the past 12 months, if it is possible to find it based on the information given. If this is not possible, explain why not. c) The bar chart below summarizes some other results from the survey in Part b. For example, among the surveyed adults who were 50+ years old, 31% had not read a book in any format in the past 12 months. Suppose one of the surveyed adults was picked at random. Answer the following question if it's possible to do so based on the bar chart alone. If it's not possible, explain why not. You can assume that everyone's age was recorded in completed years, and that adults are defined as people aged 18+. Given that the selected person had not read a book in any format in the past 12 months, what is the chance that the person was in the 18-49 age group? Who hasn't read a book in the past 12 months % of U.S. adults who say they have not read a book in any format in the past 12 months U.S. adults 27 Men 32 Women 22 White 22 Black 33 Hispanic 40 ............. 18-49 22 50+ 31 . .............