1. (10 points) Suppose you are interested in studying whether eating particular foods increase the chance that someone will develop cancer. You devise a study where thousands of participants track the foods that they eat and then you monitor their health outcomes. You estimate a regression model with the binary dependent variable of whether or not the respondent develops cancer and 20 independent variables recording the intake of 20 different types of foods. Of the 20 independent variables, only coffee has a slope coefficient statistically different from 0 at the 5% significance level. The coefficient predicts that respondents who drink at least 1 cup of coffee each day are 4 times as likely to develop cancer as those who drink less than 1 cup of coffee each day. Explain whether or not this is strong evidence of coffee consumption increasing the likelihood of cancer. < E