A poll finds that 54% of the population approves of the job that the President is doing; the poll has a margin of error of 4% (assuming a 95% degree of confidence). a. What is the 95% confidence interval for the true population proportion that approves of the President's performance? b. What was the minimum size of the sample for this poll? a. Find the 95% confidence interval. (Type integers or decimals rounded to two decimal places as needed.) b. The minimum sample size was. (Round up to the nearest whole number.)
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Type an integer or a decimal rounded to three decimal places as needed.) c. Construct the confidence interval. 0An educator wants to construct a 99% confidence interval for the proportion of elementary school children in Michigan who are proficient in reading. Estimate the sample size needed to conduct this survey and assume that there there is no information available to be used from a previous study. Use a margin of error of 3%. What is the sample size: _________In a survey of 3242 adults aged 57 through 85 years, it was found that 82.9% of them used at least one prescription medication. Complete parts (a) through (c) below. a. How many of the 3242 subjects used at least one prescription medication? ____ (Round to the nearest integer as needed.) b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. ____%<p<____% (Round to one decimal place as needed.) c. What do the results tell us about the proportion of college students who use at least one prescription medication? A. The results tell us that there is a 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part (b). B. The results tell us that, with 90% confidence, the probability that a college student uses at least one prescription medication is in the interval found in part (b).…♦️♦️♦️✅❎❎♦️♦️♦️♦️❎✅♦️♦️In a poll of 515 human resource professionals, 45.8% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below. a. Among the 515 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags? 236 (Round to the nearest integer as needed.) b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags. Π (Round to three decimal places as needed.)Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96Use the sample data and confidence level given below to complete parts ( a ) through ( d ) . A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1003 and x= 574 who said "yes." Use a 99 % confidence level. A. Find the best point estimate of the population proportion. ( Round to three decimal places as needed. ) B. Identify the value of the margin of error E. (Round to three decimal places as needed) C. Construct a confidence interval.(Round to three decimal places as needed)Find the margin of error and 95% confidence interval for the following study. A survey of 1857 adults found that 81% of those surveyed support background checks for private and gun show sales. Margin of error = % (Type an integer or decimal rounded to one decimal place as needed.)Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. 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