1) For this problem,carry at least four digits after the decimal in your calculations . In a random sample of 65 professional actors, it was found that 44 were extroverts. A) let p represents the proportion of all actors who are extroverts . Find a point estimate for p (round your answer to four decimal places) =_________ B) find a95% confidence interval for p (round your answer to two decimal places) Lower limit ______ Upper limit ______ 2) in a random sample of 60 professional actors , it was found that 37 were extroverts. A) let p represent the proportion of all actors who are extroverts. Find point estimates for p and q (round your answer to four decimal places) P_____ q_______ B) find 95% confidence interval for p. Find the maximal margin of error (round your answer to two decimal places) E= _______ Report the bounds from the 95% confidence interval for p (round your answer to two decimal places) Lower limit_____ Upper limit____ 3)in a random sample of 65 professional actors, it was 39 were extroverts. A) let p represents the proportion of all actors who are extroverts. Find a point estimate for p (round your answer to four decimal places) =_____ B) find a 95% confidence interval for p (round your answers to two decimal places) Lower limit ____ Upper limit _____ 4) in a random sample of 510 judges, it was found that 277 were introverts. A) let p represents the proportion of all judges who are introverts. Find a point estimate for p (round your answer to four decimal place)=________ B)find a 99% confidence interval for p (round your answer to two decimal places) Lower limit _____ Upper limit _____ 5) a random sample of 5280 permanent dwellings on an entire reservation showed 1571 were traditional hogans. A) let p be the proportion of all permanent dwellings on the entire reservations that are traditional hogans. Find a point for estimate p (round your answer to four decimal places)=______ B) find a 99% confidence interval for p (round your answer to three decimal places) Lower limit_______ Upper limit ________ 6)a random sample of 5320 permanent dwellings on a an entire reservation showed that 1606 were traditional hogans. A)Find a point estimate for p. (Round your answer to four decimal places) =________ B) find a 99% confidence interval for p (round your answer to three decimal places) Lower limit ______ Upper limit_____ 7) a sample of 600 potsherds was found, of which 359 were identified as Santa few hits. A) find a point estimate for p (round your answer to four decimal place) B) find a 95% confidence interval for p ( round your answers to three decimal places) Lower limit_______ Upper limit _____ 8) 10494 convicts who escaped from prison, only 7582 were recaptured. A) find a point estimate for p (round your answer to four decimal place) =______ B) find 99% confidence interval for p (round your answer to three decimal place) Lower limit ______ Upper limit ____