In the 2012 General Social Survey, people were asked whether they thought the sun went around the planet Earth or vice versa. Of 1974 people, 203 thought the sun went around Earth.

a. What proportion of people in the survey believed the sun went around Earth?

b. Find a 95% confidence interval for the proportion of all people with this belief.

c. Suppose a scientist said that 30% of people in the general population believe the sun goes around Earth. Using the confidence interval, would you say that was plausible? Explain your answer.