According to a recent report, 32.2% of American adults (aged 20 and older) are obese (The New York Times, August 15, 2008). 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 Americans and 300 Caucasian adults for the analysis. The following table contains the sample information. Race African Americans Caucasians Gender Obese Males 36 Females 35 Males 62 Females 31 Not obese 94 55 118 89 a. Test if the proportion of obese African-American men is less than the proportion of obese Caucasian men at a = 0.05. b. Test if the proportion of obese African-American women is more than the proportion of obese Caucasian women at a = 0.05. c. Test if the proportion of obese African Americans differs from the proportion of obese Caucasian adults at the 5% significance level. d. Fact check the New York Times' claim of 32.2% obesity among American adults at 5% significance level.

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100%
UPVOTE WILL BE GIVEN. Solve in 2 decimal places. No long explanation needed. Box the final answer.
According to a recent report, 32.2% of American adults (aged 20 and older) are obese (The New York
Times, August 15, 2008). 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 Americans and 300 Caucasian adults for
the analysis. The following table contains the sample information.
Race
African Americans
Caucasians
Gender Obese
Males
36
Females
35
Males
62
Females
31
Not
obese
94
55
118
89
a. Test if the proportion of obese African-American men is less than the proportion of obese Caucasian
men at a = 0.05.
b. Test if the proportion of obese African-American women is more than the proportion of obese
Caucasian women at a = 0.05.
c. Test if the proportion of obese African Americans differs from the proportion of obese Caucasian
adults at the 5% significance level.
d. Fact check the New York Times' claim of 32.2% obesity among American adults at 5% significance
level.
Transcribed Image Text:According to a recent report, 32.2% of American adults (aged 20 and older) are obese (The New York Times, August 15, 2008). 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 Americans and 300 Caucasian adults for the analysis. The following table contains the sample information. Race African Americans Caucasians Gender Obese Males 36 Females 35 Males 62 Females 31 Not obese 94 55 118 89 a. Test if the proportion of obese African-American men is less than the proportion of obese Caucasian men at a = 0.05. b. Test if the proportion of obese African-American women is more than the proportion of obese Caucasian women at a = 0.05. c. Test if the proportion of obese African Americans differs from the proportion of obese Caucasian adults at the 5% significance level. d. Fact check the New York Times' claim of 32.2% obesity among American adults at 5% significance level.
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