A national survey of 2000 adult citizens of a nation found that 24% dreaded Valentine's Day. The margin of error for the survey was 7.4 percentage points with 85% confidence. Explain what this means. Which statement below is the best explanation? A. There is 77.6% to 92. 4% confidence that 24% of the adult citizens of the nation dreaded Valentine's Day. O B. There is 85% confidence that 24% of the adult citizens of the nation dreaded Valentine's Day. C. In 85% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0. 166 and 0.314. D. There is 85% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0. 166 and 0.314.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 = 0.649, upper bound = 0.891, n = 1200 The point estimate of the population proportion is (Round to the nearest thousandth as needed.) The margin of error is. (Round to the nearest thousandth as needed.) The number of individuals in the sample with the specified characteristic is. (Round to the nearest integer as needed.)Construct a confidence interval of the population proportion at the given level of confidence. x = 860, n = 1200, 90% confidence The lower bound of the confidence interval is (Round to the nearest thousandth as needed.) The upper bound of the confidence interval is (Round to the nearest thousandth as needed.)By how many times does the sample size have to be increased to decrease the margin of error by a factor of NI - -? The sample size must be increased by a factor of to decrease the margin of error by a factor of (Type a whole number.) What is the general relationship, if any. between the sample size and the margin of error? OA. Increasing the sample size by a factor M results in the margin of error decreasing by a factor of M2 OB. 1 - Increasing the sample size by a factor M results in the margin of error decreasing by a factor of M OC. Increasing the sample size by a factor M results in the margin of error decreasing by a factor of OO D. There is no relationship between the sample size and the margin of error.A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 1027 people age 15 or older. the mean amount of time spent eating or drinking per day is 1.42 hours with a standard deviation of 0.66 hour. Complete parts (a) through (d) below. (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. 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. B. The distribution of the sample mean will always be approximately normal. C. The distribution of the sample mean will never be approximately normal " D. 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 approximately normal. (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. A. The sample size is greater than 10% of the population. B. The sample size is less than 10% of the population. O C. The sample size is less than 5% of the population. D. The sample size is greater than 5% of the population. (c) Determine and interpret a 90% 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.) A. The nutritionist is 90% confident that the amount of time spent eating or drinking per day for any individual is between and hours B. The nutritionist is 90% confident that the mean amount of time spent eating or drinking per day is between and hours. C. There is a 90% probability that the mean amount of time spent eating or drinking per day is between and hours . OD. The requirements for constructing a confidence interval are not satisfied. (d) Could the interval be used to estimate the mean amount of time a 9-year-old spends eating and drinking each day? Explain. A. 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 drinking per day for 9-year-olds. B. 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 each day. C. 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. D. 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. O E. A confidence interval could not be constructed in part (c)