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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, Question list K for the sample size provided. Lower bound = 0.088, upper bound = 0.432, n = 1200 O Question 1 The point estimate of the population proportion is. O Question 2 (Round to the nearest thousandth as needed.) The margin of error is. (Round to the nearest thousandth as needed.) O Question 3 The number of individuals in the sample with the specified characteristic is (Round to the nearest integer as needed.) O Question 4 O Question 5 O Question 6 O Question 7 O Question 8 O Question 9Asurvey of 2291 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two years. Complete parts (a) Question list I6 through (0) below. 0 Question 1 (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. p = 0 Question 2 (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a condence interval about p are satisfied. 0 Question 3 The sample a simple random sample, the value of is , which is V 10, and the V less than or equal to 5% of the (Round to three decimal places as needed.) 0 Question 4 . . . . . . . . (c) Construct and Interpret a 90% condence Interval for the population proportion of adults In the country who have donated blood In the past two years. Select the correct choice below and ll In any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) 0 Question 5 A- We are % condent the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and 3- There is a % chance the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and 0 Question 6 0 Question 7 0 Question 8 0 Question 9 K A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 8. Question list (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 13. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? O Question 1 O Question 2 (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: ; Upper bound: (Round to one decimal place as needed.) O Question 3 (b) Construct a 95% confidence interval about u if the sample size, n, is 13. Lower bound: ; Upper bound: O Question 4 (Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? O Question 5 O A. As the sample size decreases, the margin of error stays the same. O B. As the sample size decreases, the margin of error increases. O Question 6 O C. As the sample size decreases, the margin of error decreases. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. O Question 7 Lower bound: ; Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? O Question 8 O A. As the level of confidence decreases, the size of the interval stays the same. O B. As the level of confidence decreases, the size of the interval decreases. O Question 9 O C. As the level of confidence decreases. the size of the interval increases. Statcrunch NextA simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 8. Question list K (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 13. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? O Question 1 O Question 2 O A. As the sample size decreases, the margin of error stays the same. O B. As the sample size decreases, the margin of error increases. O Question 3 O C. As the sample size decreases, the margin of error decreases. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. O Question 4 Lower bound: ; Upper bound: (Round to one decimal place as needed.) Question 5 Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? O A. As the level of confidence decreases, the size of the interval stays the same. O Question 6 O B. As the level of confidence decreases, the size of the interval decreases. O C. As the level of confidence decreases, the size of the interval increases. O Question 7 (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? O A. No, the population needs to be normally distributed because each sample size is less than 30. Question 8 O B. No, the population needs to be normally distributed because each sample size is large relative to their respective population sizes. O C. Yes, the population does not need to be normally distributed because each sample size is less than 30. O D. Yes, the population does not need to be normally distributed because each sample size is small relative to their respective population sizes. O Question 9A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 918 people age 15 or older, the mean amount of time spent eating Question list K or drinking per day is 1.16 hours with a standard deviation of 0.52 hour. Complete parts (a) through (d) below. O Question 1 (a) A histogram of time spent eating and drinking each day is skewed right. Use this result to explain why a large sample size is needed to construct a confidence interval for the mean time spent eating and drinking each day. O Question 2 O A. Since the distribution of time spent eating and drinking each day is normally distributed, the sample must be large so that the distribution of the sample mean will be approximately normal. O B. Since the distribution of time spent eating and drinking each day is not normally distributed (skewed right), the sample must be large so that the distribution of the sample mean will be O Question 3 approximately normal O C. The distribution of the sample mean will never be approximately normal. O D. The distribution of the sample mean will always be approximately normal. O Question 4 (b) There are more than 200 million people nationally age 15 or older. Explain why this, along with the fact that the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval. Question 5 O A. The sample size is less than 10% of the population. O B. The sample size is greater than 5% of the population. O Question 6 O C. The sample size is greater than 10% of the population. O D. The sample size is less than 5% of the population. O Question 7 (c) Determine and interpret a 99% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day. Select the correct choice below and fill in the answer boxes, if applicable, in your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O Question 8 O A. The nutritionist is 99% confident that the amount of time spent eating or drinking per day for any individual is between and hours. O B. There is a 99% probability that the mean amount of time spent eating or drinking per day is between and hours. O Question 9 O C. The nutritionist is 90/ confident that the mea amount of time chant eating or drinking nor dav is hatwoon | and hours Statcrunch NextA nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 918 people age 15 or older, the mean amount of time spent eating Question list K or drinking per day is 1.16 hours with a standard deviation of 0.52 hour. Complete parts (a) through (d) below. O Question 1 O A. The sample size is less than 10% of the population. O B. The sample size is greater than 5% of the population. O Question 2 O C. The sample size is greater than 10% of the population. O D. The sample size is less than 5% of the population. O Question 3 (c) Determine and interpret a 99% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day. Select the correct choice below and fill in the answer boxes, if applicable, in your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O Question 4 O A. The nutritionist is 99% confident that the amount of time spent eating or drinking per day for any individual is between and hours. O B. There is a 99% probability that the mean amount of time spent eating or drinking per day is between and hours. O Question 5 O C. The nutritionist is 99% confident that the mean amount of time spent eating or drinking per day is between and hours. O D. The requirements for constructing a confidence interval are not satisfied. O Question 6 (d) Could the interval be used to estimate the mean amount of time a 9-year-old spends eating and drinking each day? Explain. O Question 7 O A. No; the interval is about people age 15 or older. The mean amount of time spent eating or drinking per day for 9-year-olds may differ. B. No; the interval is about individual time spent eating or drinking per day and cannot be used to find the mean time spent eating or drinking per day for specific age. O C. Yes; the interval is about the mean amount of time spent eating or drinking per day for people people age 15 or older and can be used to find the mean amount of time spent eating or O Question 8 drinking per day for 9-year-olds. O D. Yes; the interval is about individual time spent eating or drinking per day and can be used to find the mean amount of time a 9-year-old spends eating and drinking ea O Question 9 O E. A confidence interval could not be constructed in part (c). Statcrunch Next

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