In 2008 General Social Survey, people were asked whether they thought the sun went around the earth or vice versa. Of 1381 people, 310 thought the sun went around the earth.
a. What proportion of people in the survey believed the sun went around the earth?
b. Find a 95% confidence interval for the proportion of all people sith this belief.
c. Suppose a scientist said that 30% of people in the general population believe the sun goes around the earth. Using the confidence interval, would you say that was plausible? Explain your answer.