1. A simple survey asked people how much they exercised and whether they go enough sleep. Their answers can be plotted as a two-way table as follows: Enough Sleep? Exercise Level Yes No Low 115 242 High 151 148 a) How many people are in the study? b) Make a version of the table that includes the marginal totals for each status (i.e. fill in the shaded boxes). c) You want to learn more about sleep patterns conditional on one's exercise level. Incorporate "row" percentages into the table. Then write a sentence or two describing what we learn about how people's sleep patterns vary depending on whether they have a "low" or "high" exercise level. d) A sleep researcher is interested in thinking about whether people who get more sleep are more likely to exercise. On the one hand, they may have more energy; on the other hand, they have less time since they sleep more. Use "column" percentages to investigate this, and write a sentence or two about the findings. 2. For each of the following, discuss the nature of the data production process. What features does it have that may compromise its quality? a) A journalist in Syracuse wanted to learn whether more people are "dog people" or "cat people" in our community, i.e. whether people have a preference across the two kinds of pets. He interviewed people he found walking down the sidewalks, and determined that there are more "dog people" than "cat people" here. b) National Public Radio at times has been accused of being biased in a liberal direction. However, a survey of listeners revealed that they think the coverage is centrist and even too conservative at times. c) A survey is sent to students via email at a university to try to find out what methods of communication work best for students (email, phone, texting). It finds that students have a preference for email