In a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 2152 people, 389 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 25% 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.

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In a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 2152 people, 389 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 25% 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.
Transcribed Image Text:In a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 2152 people, 389 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 25% 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.
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