Some food retailers propose subjecting food to a low level of radiation in order to improve safety, but sale of such "irradiated" food is opposed by many people. Suppose a grocer wants to find out what his customers think. He has cashiers distribute surveys at checkout and ask customers to fill them out and drop them in a box near the front door. He gets responses from 122 customers, of whom 78 oppose the radiation treatments.

(a) A bootstrap distribution looks Normal and has a SE of 0.044. Find a 95% confidence interval for the proportion of customers opposed to irradiated food.

(b) Interpret this confidence interval.

(c) Can the grocer use this interval to generalize to the opinions of all his customers?