DO EXERCISE 16-11 and 16-12

awww proportion to within + .01 with 99% confidence) if you could not Exercise 16-11: Penny Activities afford to sample so many essays. 16-9, 16-10, 16-11, 17-9, 18-14, 18-15 Refer to the previous two exercises. Exercise 16-9: Penny Activities -9, 16-10, 16-11, 17-9, 18-14, 18-3mum for mon a. Determine the sample size necessary to estimate the probability that a spun penny a. Flip a penny in the air 50 times and keep track lands heads to within a margin-of-error of of how many heads and tails result. Use your + .02 with a confidence level of 95%. Use your sample results to construct a 95% confidence estimate from part b of Exercise 16-9. interval for the probability (long-term relative b. Determine the sample size necessary to frequency) that a flipped penny lands heads. estimate the probability that a tilted penny lands heads to within a margin-of-error of b. Instead of flipping a penny in the air, consider + .02 with a confidence level of 95%. Use your spinning it on its side and seeing whether it estimate from part c of Exercise 16-9. lands on heads or tails. Do this 50 times, and c. With which penny activity (flipping, spinning, use your sample results to construct a 95% or tilting) is the necessary sample size largest? confidence interval for the probability that a Why do you think this is the case? spun penny lands heads. c. Now consider balancing a penny on its side and then striking the table nearby so the penny Exercise 16-12: Credit Card Usage tilts to land heads or tails. Do this 50 times, 1-9, 16-12, 19-23, 20-10 and use your sample results to construct a 95% Recall from Exercise 1-9 that the Nellie Mae confidence interval for the probability that a organization conducts an extensive annual study tilted penny lands heads. of credit card usage by college students. For their d. Based on these results, which activities 2004 study, they analyzed credit bureau data for (flipping, spinning, or tilting) could plausibly a random sample of 1413 undergraduate students be 50/50 for landing heads or tails? Explain. between the ages of 18 and 24. They found that e. Which activity appears to result in the highest 76% of the students sampled held a credit card. probability of landing heads? a. Determine this result's margin-of-error with 95% confidence. Exercise 16-10: Penny Activities b. Determine and interpret a 95% confidence 16-9, 16-10, 16-11, 17-9, 18-14, 18-15 interval for the proportion of all undergraduate college students in the United States who held Refer to the previous exercise. a credit card in 2004. a. Determine the sample size necessary to c. Comment on whether or not the technical estimate the probability that a flipped penny conditions required for the validity of this lands heads to within a margin-of-error of procedure are satisfied here. +.02 with confidence level 95%. [Hint: Use your estimate of this probability from part a in Exercise 16-13: Responding to