In a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 1821 people, 334 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. a. The proportion of people in the survey who believed the sun went around Earth is (Round to three decimal places as needed.) b. The 95% confidence interval is (D) (Round to three decimal places as needed.) c. Is the scientist's claim that 30% of people in the general population believe the sun goes around Earth plausible? plausible, since the value | | is of the confidence interval. (Type an integer or a decimal. Do not round.)