A survey includes the question, "Taken all together, would you say that you are very happy, pretty happy, or not too happy?" The table uses the survey to cross-tabulate happiness with family income, measured as the response to the question, "Compared with families in general, would you say that your family income is below average, average, or above average?" The concern is whether happiness varies depending on income level. a. Identify the response variable and the explanatory variable. O Happiness is the explanatory variable and income is the response variable. Income is the explanatory variable and happiness is the response variable. b. Construct the conditional proportions on happiness at each level of income. Interpret and summarize the association between these variables. Happiness Not too Pretty Very happy happy happy Income AboveAverage 0.121 0.591 0.289 (Round to three decimal places as needed.) Average 0.153 0.583 0.263 (Round to three decimal places as needed.) BelowAverage 0.137 0.591 0.231 (Round to three decimal places as needed.) Happiness Not too Pretty Very happy happy happy Income Totals Above 61 299 146 506 Average 71 270 122 463 Below 62 286 105 453 Totals 194 855 373 1422 D

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