11. A local radio station is interested in estimating the percentage of a target market that has a favorable impression of its morning show. The marketing department wishes to estimate this proportion within +-0.025 of the true population value and have a confidence level of 98%. A pilot sample of 30 people was selected, and the proportion in this sample with a favorable impression was 0.56. a. Based on this information, how many more people must be surveyed? b. Determine the margin of error in the pilot sample.
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11. A local radio station is interested in estimating the percentage of a target market that has a favorable impression of its morning show. The marketing department wishes to estimate this proportion within +-0.025 of the true population value and have a confidence level of 98%. A pilot sample of 30 people was selected, and the proportion in this sample with a favorable impression was 0.56.
a. Based on this information, how many more people must be surveyed?
b. Determine the margin of error in the pilot sample.
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- Use 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 = 935 and x = 548 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. .601 (Round to three decimal places as needed.)Physicians say that the normal temperature of a person's body is about 37 degrees Celsius. In a class, the temperatures (in degrees Celsius) of 10 students were collected: 36.8 36.6 37.5 36.7 37.1 37.3 37 37.1 37 36.9 What is the point estimate for the population's average body temperature? Given that s = 0.3 and using a 99% level of confidence, what is the maximum error (1 decimal place)? What is the lower limit(one decimal place only) of the interval estimate using the 99% confidence level?Use 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=979 and x = 572 who said "yes." Use a 95% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=0 (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. C O A. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. OB. 95% of sample proportions will fall between the lower bound and the upper bound. OC. One has 95% confidence that the sample proportion is equal to the…
- Use 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= 1072 and x = 595 who said "yes." Use a 95% confidence level. E Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed. b) Identify the value of the margin of error E E= (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed. ) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. O B. 95% of sample proportions will fall between the lower bound and the upper bound. O C. One has 95% confidence that the sample proportion is equal to the population proportion. O D.…Use 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 = 1045 and x = 543 who said "yes." Use a 95% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E = (Round to three decimal places as needed.) c) Construct the confidence interval. OUse 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 = 969 and x = 545 who said "yes." Use a 90% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E= (Round to three decimal places as needed.) c) Construct the confidence interval.Use 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=961 and x = 600 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E= (Round to three decimal places as needed.) c) Construct the confidence interval.Use 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 = 1010 and x = 589 who said "yes." Use a 99% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. ... E= (Round to three decimal places as needed.) c) Construct the confidence interval. 0The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.Find the sample size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.09 margin of error, use a confidence level of 98%, and use results from a prior poll suggesting that 18% of adults have consulted fortune tellers. n=Twenty-two car salespeople were sampled to see how many cars they sold in a month; the following data was obtained: 26, 20, 22, 18, 21, 14, 24, 28, 17, 23, 28, 29, 18, 17, 24, 26, 19, 27, 26, 22, 23, 25 Construct a 95% confidence interval for the mean number of cars sold per month by the population of car salespeople. S = t = Margine of Error: E = We are 95% confident that, on average, car salespeople sell between cars and cars per month.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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