1. The American Academy of Pediatrics offers guidelines and recommendations for how much "screen time" (i.e., time in front of the television or other electronic devices) young children should have. One recommendation is that children between the ages of 2 and 5 years should have no more than two hours of screen time per day. What proportion of parents of young children follow these recommendations? To estimate this parameter, a pediatrician surveys 200 randomly selected parents of children between the ages of 2 and 5 years. The proportion of these parents who indicate they follow screen time recommendations for their children is 0.33. Use this information to construct a 99% confidence in order to estimate the population proportion of all parents of children between the ages of 2 and 5 years who follow screen time recommendations. As you construct the interval, round your margin of error to three decimal places as you are engaging in calculations, and choose the answer below that is closest to what you calculate. A. 0.329 to 0.331 B. 0.297 to 0363 C. 0.244 to 0.416 D. 0.324 to 0.336 E. 0.265 to 0.395 2. What proportion of Law School applicants are accepted into Law School? In a survey of a random sample of Law School applicants, the proportion who were accepted into Law School was observed to be 0.44. When a 95% confidence interval was constructed based on this sample of data, it was found to be from 0.40 to 0.48. How should this interval be interpreted? A. If we repeat the sampling process 100 times, 95% of all resulting confidence intervals will be from 0.40 to 0.48. B. We are 95% confident the interval from 0.40 to 0.48 includes the proportion of Law School applicants in this sample who were accepted into Law School. C. We are 95% confident the interval from 0.40 to 0.48 includes the proportion of Law School applicants in the population who are accepted into Law School. D. With 95% confidence, if you apply to Law School, you have a 44% + 4% chance of being accepted. E. In the last 100 years, 95% of all Law School applicants have been accepted into Law School 44% of the time.3. Which one of the following statements is true? A. The sample proportion is a parameter. B. A confidence interval is computed in order to estimate an unknown sample statistic. C. The margin of error is affected by the size of the sample proportion. D. If you construct a confidence interval for a population proportion and the interval ends up being from 0.48 to 0.59, this means the population proportion is definitely larger than 0.50. E. If a 95% confidence interval is given as 0.32 to 0.46, this means the sample proportion must be 0.38. 4. Leigh and Rebekah are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40. Leigh and Rebekah each use their sample data to construct a confidence interval. Leigh's interval is from 0.346 to 0.474, and Rebekah's interval is from 0.286 to 0.514. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? A. Leigh's interval must be incorrect. B. Rebekah's interval must be incorrect. C. It's impossible to answer this question without knowing the level of confidence used for each interval. D. It's impossible to answer this question without knowing the sample sizes. E. It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval. 5. A 95% confidence interval is constructed based on a sample of data, and it is 74% + 3%. A 99% confidence interval based on this same sample of data would have A. the same center and a larger margin of error. B. a larger margin of error and probably a different center. C. the same center and a smaller margin of error. D. a smaller margin of error and probably a different center. E. the same center, but the margin of error changes randomly.6. What proportion of college students earn their undergraduate degrees in four years? A college administrator reports that, with 95% confidence, the interval from 0.50 to 0.62 includes the proportion of all college students who earn their undergraduate degrees in four years. What is the margin of error for this confidence interval? A. 1.96 B. 0.06 C. 0.12 D. 0.56 E. It's impossible to answer this question without more information 7. Eileen and Clint are each attempting to estimate the proportion of OSU students who regularly ride the COTA city bus. Eileen surveys a random sample of n = 1025 students and finds that 492 of the students in her sample regularly ride the COTA city bus. Clint surveys a random sample of n = 472 students and finds that 227 of the students in his sample regularly ride the COTA city bus. If Eileen and Clint each construct a 95% confidence interval based on their respective sample data, we'd expect Eileen's interval to have A. the same margin of error as Clint's interval since Eileen and Clint are sampling from the same population. B. a larger margin of error than Clint's interval because her sample size is larger than Clint's sample size. C. a smaller margin of error than Clint's interval because her sample size is larger than Clint's sample size. D. a larger margin of error than Clint's interval because, compared to Clint's sample, a larger number of the students surveyed by Eileen said they regularly ride the COTA city bus. E. a smaller margin of error than Clint's interval because, compared to Clint's sample, a larger number of the students surveyed by Eileen said they regularly ride the COTA city bus. 8. Suppose you decide that you want to construct a 92% confidence interval. This would mean the z* value would need to be between and A. 1.96; 2.58 B. 1.52; 1.64 C. 2:58; 3.19 D. 1.64; 1.96 E. It is impossible to answer this question without knowing the sample size.9. A 99% confidence interval for a population proportion is calculated using data from a random sample of size n = 100, and this interval ends up being from 0.77 to 0.95. Which of the following must be the 90% confidence interval calculated from the same data? A. 0.87 to 0.96 B. 0.80 to 0.92 C. 0.75 to 0.98 D. 0.82 to 0.90 E. 0.71 to 0.83 10. Which one of the following statements about confidence intervals is false? A. Given the same sample of data, a 99% confidence interval will be wider than a 95% confidence interval. B. The size of the population affects the width of a confidence interval. C. The sample statistic determines the center of the confidence interval. D. The value of z* affects the width of a confidence interval. E. The general format of a confidence interval is "sample statistic + margin of error."