(1) A famous scientist, Mendel, conducted a genetic experiment with peas. One sample from this experiment consisted of 580 peas, where 152 of those peas are yellow. Find the 95% confidence interval...

(1) A famous scientist, Mendel, conducted a genetic experiment with peas. One sample from this experiment consisted of 580 peas, where 152 of those peas are yellow. Find the 95% confidence interval for the percentage of yellow peas. Also find the margin of error.

(2) A telephone poll of 1000 adult Americans was reported in an issue of Time Magazine. One of the questions asked was "What is the main problem facing the country"? 200 answered "crime". We are interested in the population proportion of adult Americans who feel that crime is the main problem. Construct a 95% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. Find the margin of error.