Question: In July 2002 the American Journal of Clinical Nutrition reported that 42% of 1546 African American women studied have vitamin D deficiency. The data came from a national nutrition study conducted by the Centers for Disease Control in Atlanta.

a) Do these data meet the assumptions necessary for inference? What would you like to know that you don't?
b) Create a 95% conference interval. Show what the error of the confidence interval is also.
c) Interpret the interval in this context.
d) Explain in this context what "95% confidence" means.