Return Submit At least twenty billionaires dropped out of college before earning their fortunes, including Bill Gates and Mark Zuckerberg. (a) Does this mean that dropping out of college is correlated with becoming a billionaire? Why or why not? (b) Draw the two-by-two table that would allow you to assess whether dropping out of college is correlated with becoming a billionaire. Let's assume that exactly twenty people have dropped out of college and become billionaires, so you know what to put in one of the four cells. Make your best guess for the other cells. At the time of this writing, there are about 7.8 billion people in the world, and about two thousand billionaires. Do you think there is a positive or negative correlation between dropping out of college and becoming a billionaire? (c) Given your guesses from part (b), what proportion of the non-billionaires would need to be college dropouts in order for the correlation to be negative? What proportion of the non-billionaires would need to be college dropouts in order for the correlation to be positive? D P.S. The text editor where you type your answers has a "table" function. Look in the menu, you may need to use the three dots on the far right of the screen to see additional menu options to find the table function. (d) If you're currently a college student deciding whether you want to drop out in the hopes of becoming a billionaire, you may want to restrict attention to people who actually started college. Do you think the correlation between dropping out of college and becoming a billionaire is more or less likely to be positive if we restrict attention to just people who start college? (e) About 7 percent of the world's population has a college degree. And about a third of people who start college complete it. If we assume that everyone who becomes a billionaire started college, you should now have all the information you need to assess the correlation between becoming a billionaire and dropping out of college among those who start college. Is it positive, negative, or zero? f2 f3 f4 15 f6 O Search LOUCO A f7 f8/7 f9 f