Please help with the question attached below:

In 2010, the General Social Survey asked subjects if they would be willing to pay higher prices for gas to protect the environment. Of 1,361 respondents, 637 indicated their Willingness to do so (a) Find the 95% condence interval for the population proportion of adult Americans Will- ing to do so. (b) Construct a 95% credible interval for the proportion of adult Americans Willing to do so. (c) Find and compare the widths of parts [a] and (b)