Note: Remember to include units where needed.

1. You wish to conduct a study to estimate the number of adults who have had chickenpox. Determine how large of a sample (number of adults you must survey) to be 99% confident that the sample percentage is within 2.5% of the true percentage for the population of all adults if a) nothing is know about the prevalence of chickpox. b) you assume 95% of adults have had chickenpox.

2) The National Survey of Drug Use and Health reported that 4.8% of persons aged 12 or older used a prescription pain reliever nonmedically. Suppose that a random sample of 900 persons aged 12 or older found 54 that had used a prescription pain reliever nonmedically. Test whether this nonmedical use of prescription pain reliever has increased. a) Set up the hypotheses. b) Compute the sample test statistic. c) Determine the p-value of the sample test statistic. d) Note that a significance level was not given for this test, so state the your conclusion in nontechnical terms using the following guidelines. i) the results are evidence to reject H , because the p-value > 10%not significant ! ii) the results are evidence to reject H , because 10% p-value > 5%mildly significant ! iii) the results are evidence to reject H , because 5% p-value > 1%significant ! iv) the results are evidence to reject H , because the p-value 1%highly significant !