Calculate the 95% margin of error in estimating a binomial proportion for each of the following values of n. Use p = 0.5 to calculate the standard error of the estimator. (Round your answers to three decimal places.) (a) n = 40 (b) n = 200 (c) n = 800 (d) n = 1,000 You may need to use the appropriate appendix table or technology to answer this question.Calculate the 95% margin of error in estimating a binomial proportion p using samples of size n = 100 and the following values for p. (Round your answers to four decimal places.) (a) p = 0.3 (b) p = 0.4 (c) p = 0.5 (d) p = 0.7 (e) p = 0.8 (f) Which of the values of p produces the largest margin of error? O p = 0.3 O p = 0.4 O p = 0.5 Op = 0.7 Op = 0.8 You may need to use the appropriate appendix table or technology to answer this question.4. [l2 Points] DETAILS MEN DSTATC4 8.E.013. A random sample of n = 500 observations from a binomial population produced X = s20 successes. Estimate the binomial proportion p. .6 = S Calculate the 95% margin of error. (Round your answer to three decimal places.) Z You may need to use the appropriate appendix table or technology to answer this question. 3. [-12 Points] DETAILS MENDSTATC4 8.E.011. MY NOTES ASK YOUR TEACHER A random sample of n : 900 observations from a binomial population produced x : 610 successes. Estimate the binomial proportion p. (Round your answer to three decimal places.) 15 = :l Calculate the 95% margin of error. (Round your answer to three decimal places.) Z You may need to use the appropriate appendix table or technology to answer this