Next THREE questions (6-8) are related

6) According to centers for Disease Control and Prevention, 31.2% of the adult population in the Midwest are obese ( = 0.312).In random samples of n = 600 Midwestern adults, the standard error of the sample proportion is:

a 0.0151 b 0.0189 c 0.0227 d 0.0284

7) In the previous question, what fraction of sample proportions from samples of size n = 600 exceed 0.34?

a 0.0694 b 0.0833 c 0.0917 d 0.1008

8) We want to build a middle interval which captures 95% of all sample proportions within 0.03 from the population proportion of adults who are obese.What is the minimum sample size to build this interval?

a 1064 b 982 c 917 d 871