In a 2008​ survey, people were asked their opinions on astrology​ - whether it was very​ scientific, somewhat​ scientific, or not at all scientific. Of 1439 who​ responded, 76 said astrology was very scientific.   a. Find the proportion of people in the survey who believe astrology is very scientific.   b. Find a​ 95% confidence interval for the population proportion with this belief.   c. Suppose a TV news anchor said that​ 5% of people in the general population think astrology is very scientific. Would you say that is​ plausible? Explain your answer.

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