The Gallup Organization conducted a survey in 2014 asking individuals questions pertaining to social well-being such as strength of relationship with spouse, partner, or closest friend, making time for trips or vacations, and having someone who encourages them to be healthy. Social well-being scores were determined based on answers to these questions and used to categorize individuals as thriving, struggling, or suffering in their social wellbeing. In addition, body mass index (BMI) was determined based on height and weight of the individual. This allowed for classification as obese, overweight, normal weight, or underweight. The data in the following contingency table are based on the results of this survey.

(a) Researchers wanted to determine whether the sample data suggest there is an association between weight classification and social well-being. Explain why this data should be analyzed using a chi-square test for independence.
(b) Do the sample data suggest that weight classification and social well-being are related?
(c) Draw a conditional bar graph of the data by weight classification.
(d) Write some general conclusions based on the results from parts (b) and (c).

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Thriving Struggling Suffering 102 110 Obese 202 250 Overweight 294 302 Normal Weight Underweight 295 103 300 17 17