2 . For this problem, carry at least four digits after the decimal…
Question Answered step-by-step 2 . For this problem, carry at least four digits after the decimal… 2. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of 61 professional actors, it was found that 42 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.)p̂= q̂=(b)Find a 95% confidence interval for p.Find the maximal margin of error. (Round your answer to two decimal places.)E = 3.For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of 66 professional actors, it was found that 43 were extroverts.(a)Let p represent 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 limitupper limit 4.For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of 514 judges, it was found that 285 were introverts.(a)Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.)(b)Find a 99% confidence interval for p. (Round your answers to two decimal places.)lower limitupper limit 5. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.A random sample of 5300 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.(a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)lower limit upper limit 6. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.A random sample of 5,360 permanent dwellings on an entire reservation showed that 1,662 were traditional hogans.(a)Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for p. (Round your answer to four decimal places.)(b)Find a 99% confidence interval for p. (Round your answers to three decimal places.)lower limitupper limit7. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.Santa Fe black-on-white is a type of pottery commonly found in archaeological excavations at a certain monument. At one excavation site, a sample of 604 potsherds was found, of which 367 were identified as Santa Fe black-on-white.(a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. 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 three decimal places.)lower limit upper limit 8. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.Case studies showed that out of 10,562 convicts who escaped from certain prisons, only 8005 were recaptured.(a) Let p represent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)lower limit upper limit 9. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of medical files is used to estimate the proportion p of all people who have blood type B.(a)If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p̂ will be within a distance of 0.03 from p? Find the critical value for 85% confidence level, z0.85, and find the specified maximal error of estimate, E. (Round your answers to two decimal places.)z0.85= E=Compute the sample size n for estimating the proportion p of all people who have blood type B under these restrictions. (Round your answer up to the nearest whole number.)n = medical files(b)Answer part (a) if you use the preliminary estimate that about 11 out of 90 people have blood type B. (Round your proportions to three decimal places and your sample size up to the nearest whole number.)p=1 − p= n= medical files 10. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of medical files is used to estimate the proportion p of all people who have blood type B.(a)If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p̂ will be within a distance of 0.05 from p? (Round your answer up to the nearest whole number.) medical files(b)Answer part (a) if you use the preliminary estimate that about 15 out of 90 people have blood type B. medical files 11. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.A random sample of medical files is used to estimate the proportion p of all people who have blood type B.(a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p̂ will be within a distance of 0.03from p? (Round your answer up to the nearest whole number.) medical files(b) Answer part (a) if you use the preliminary estimate that about 11 out of 90 people have blood type B. medical files 12. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p̂ will be within a distance of 0.04from p? (Round your answer up to the nearest whole number.) phone calls(b) A report states that business people can be reached by a single phone call approximately 13% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.) phone calls 13. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. What percentage of your campus student body is female? Let p be the proportion of women students on your campus.(a)If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p̂ will be within a distance of 0.06 from p? (Round your answer up to the nearest whole number.) students(b)A report indicates that approximately 58% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number) students Math Statistics and Probability MATH 205 Share QuestionEmailCopy link Comments (0)
