A survey is conducted from a population of people of whom 40% have a college degree. The following sample data were recorded for a question asked of each person sampled, “Do you have a college degree?”

YES NO NO YES YES YES YES YES YES YES YES NO NO NO YES NO YES YES NO NO NO YES YES YES NO YES NO YES NO NO YES NO NO NO YES YES NO NO NO NO NO NO YES NO NO NO YES NO YES YES NO NO NO YES NO NO NO NO YES YES

a. Calculate the sample proportion of respondents who have a college degree.

b. What is the probability of getting a sample proportion as extreme or more extreme than the one observed in part a if the population has 40% with college degrees?