"Obesity Among U.S. Immigrant Subgroups by Duration of Residence" reported in the Journal of the American Medical Association in December 2004 that "of 32,374 respondents, 14% were immigrants. The prevalence of obesity was 16% among immigrants and 22% among US-born individuals."11
a. Would proportions 0.16 and 0.22 be denoted p1 and p2 or and ?
b. The chi-square statistic for testing if the difference in proportions obese was significant equals 84.161, and the P-value is 0.000. Would the P-value still have been small if the same percentages had been obtained from a sample of 3,237 respondents instead of 32,374?
c. Researchers also compared BMI (weight in kilograms divided by height in meters squared) for immigrants who had been in the United States for less than 1 year, 10 to 15 years, or at least 15 years. Would this be accomplished with paired t, twosample t, ANOVA (F), chi-square, or regression?