1. A national health survey suggests that 28% of high school students in US state they have drunk enough alcohol to be considered 'drunk'. The Georgia health state department took a random sample of 1000 high schools students across the state and found 311 reported they had been 'drunk'.

• a) In words, state the population parameter of interest for the nationwide survey.
• b) In words, state the population parameter of interest for the statewide survey.
• c) Based on the national sample, what is your estimate, of the population parameter?
• d) Based on the statewide sample, what is your estimate, of the population parameter
• e) What is a 95% confidence interval for the population parameter for the population parameter of interest for the statewide survey?
• f) What is the margin of error for the confidence interval in part e?
• g) What is the margin of error if you computed a 99% confidence interval instead of a 95% confidence interval?
• h) The 95% confidence interval formula for the population proportion is based on the central limit theorem. State the conditions/assumptions to use this formula
• I) Interpret, in the context of the question what the 95% confidence intervals means.
• J) The drinking age in Denmark is lower than in GA and 85% of students of comparable age as high schools students have reported being "fuld", which means drunk in Danish. Based on the statewide survey, is it possible that the GA statewide population proportion of high school students who report they have been drunk is the same as that in Denmark?