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Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound = 0.573, upper bound = 0.857, n = 1000 The point estimate of the population proportion is. (Round to the nearest thousandth as needed.)A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.02 with 95% condence if (a) she uses a previous estimate of 0.52? (in) she does not use any prior estimates? 3 Click the icon to View the table of critical values. (a) n = (Round up to the nearest integer.) In a poll, 51% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 2%, and the estimate was made with 96% condence. At least how many people were surveyed? Click here to view the standard normal distribution table (Lag); Click hereto view the standard normal distribution table (Egg); The minimum number of surveyed people was t (Round up to the nearest integert) A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 107, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% condence interval about p. if the sample size, n, is 11. (b) Construct an 80% confidence interval about u if the sample size, n, is 27. (c) Construct a 98% confidence interval about u if the sample size, n, is 11. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? 5 Click the icon to view the table of areas under the t-distribution. (a) Construct an 80% condence interval about u if the sample size, n, is 11. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) A simple random sample of size n =400 individuals who are currently employed is asked if they work at home at least once per week. Of the 400 employed individuals surveyed, 38 responded that they did work at home at least once per week Construct a 99% condence interval for the population proportion of employed individuals who work at home at least once per week The lower bound is . (Round to three decimal places as needed.) A simple random sample of size n = 18 is drawn from a population that is normally distributed. The sample mean is found to be x = 64 and the sample standard deviation is found to be s = 11. Construct a 90% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)