1) find the value of n ( round the answer as mentioned)

For the specified margin of error, confidence level, and educated guess for the observed value of the sample proportion, obtain a sample size that will ensure a margin of error of at most the one specified (provided, of course, that the observed value of the sample proportion is further from 0.5 than the educated guess). margin of error = 0.05; confidence level = 99%; educated guess = 0.2 Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. (Round up to the nearest integer.)Using the given margin of error, confidence level, and likely range for the observed value of the sample proportion, obtain a sample size that will ensure a margin of error of at most the one specified (provided, of course, that the observed value of the sample proportion is further from 0.5 than the educated guess). margin of error = 0.035; confidence level =95%; likely range = 0.3 to 0.4 The required sample size is n = (Round up to the nearest whole number.)This exercise involves the use of an unrealistically small population to provide a concrete illustration for the exact distribution of a sample proportion. A population consists of three men and two women. The first names of the men are Daniel, William, and Pete; the first names of the women are Rose and Heather. Suppose that the specified attribute is "female" and the population proportion is 0.4. Complete parts (a) through (d) below. a. The first column of the table to the Number of females Sample proportion right provides the possible samples of Sample X p size 3, where each person is D, W. P 0.00 represented by the first letter of his or D, W. R 0.33 her name; the second column gives the D, W. H 0.33 number of successes-the number of D. P. R 0.33 females obtained-for each sample; and the third column shows the sample D. P. H proportion. Complete the table. D, R, H (Type integers or decimals rounded to W. PR two decimal places as needed.) W. P, H W. R. H P, R. HIn a nationwide survey conducted by a reputable research center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of megabanks, which controlled about 71% of the banking industry; 48% of those sampled responded in the affirmative. According to the report, "the margin of sampling error is +/ -2 percentage points with a 95% level of confidence." Find and interpret a 95% confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks. The 95% confidence interval is from to %. (Type whole numbers. Use ascending order.)Given below are the number of successes and sample size for a simple random sample from a population. x =78, n= 80, 99% level a. Determine the sample proportion. b. Decide whether using the one-proportion z-interval procedure is appropriate. c. If appropriate, use the one-proportion z-interval procedure to find the confidence interval at the specified confidence level. d. If appropriate, find the margin of error for the estimate of p and express the confidence interval in terms of the sample proportion and the margin of error. a. p= (Type an integer or a decimal. Do not round.)