According to a report by the Centers for Disease Control and Prevention (CDC), 36.5% of American adults are obese (Adult Obesity Facts, August 29, 2017). Among ethnic groups in general, African American women are more overweight than Caucasian women, but African American men are less obese than Caucasian men. Sarah Weber, a recent college graduate, is curious to determine if the same pattern also exists in her hometown on the West Coast. She randomly selects 220 African American adults and 300 Caucasian adults for the analysis. The following table contains the sample information.

a. Test if the proportion of obese African American men is less than the proportion of obese Caucasian men at ? = 0.05.

b. Test if the proportion of obese African American women is more than the proportion of obese Caucasian women at ? = 0.05.

c. Test if the proportion of obese African American adults differs from the proportion of obese Caucasian adults at the 5% significance level.

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Gender Males Females Males Not Obese 94 Race Obese 36 African Americans 35 55 118 62 Caucaslans Females 89 31