A 2014 Gallup poll reported that 27% of people in the United States are obese (having a body mass index score of 30 or more). Blacks have the highest obesity rate at 35%, whereas Asians have the lowest, at 9%.
a. Of the three percentages (estimated probabilities) reported, which are conditional? Explain.
b. These results are based on telephone interviews of 272,347 adults, aged 18 or older. Of these adults, 24,131 were black, and 5,752 were Asian. Create a contingency table showing estimated counts for race (Black, Asian, Other) and obesity (Yes, No).
c. Create a tree diagram with the first branching representing race and the second branching representing obesity. Be sure to include the appropriate percentages on each branch.