1) A study of violence and peer acceptance reported descriptive results for male and female students. The average age for 17 male students was 15.79 with a standard deviation of 2.01. Construct a 99% confidence interval for the average age of male students. What is the lower bound for this confidence interval? a. 15.36 b. 13.96 c. 14.50 d. 14.322) A research study interested in the adoption of the “urban lifestyle” among delinquent youths surveyed 1,000 delinquent youths and found that their average on the “urban lifestyle scale” is 7.65 with a standard deviation of 1.01. What’s the upper bound for a 95% confidence interval?a. 7.59 b. 7.71 c. 7.04 d. 7.963) The US Census shows that 35% of Americans have a passport. We think that in Phoenix, fewer people have passports (Phoenix is a resort town after all, why travel?). We take a sample of 1500Phoenix residents and find that 31% have a passport. Conduct a hypothesis test around a proportion that tests whether fewer Phoenix residents have passports than the overall US. Use alpha = 0.05. What would be your alternative hypothesis?a. H1: p < 0.31 b. H1: p > 0.31 c. H1: p < 0.35 d. H1: p > 0.354) The US Census shows that 35% of Americans have a passport. We think that in Phoenix, fewer people have passports (Phoenix is a resort town after all, why travel?). We take a sample of 1500Phoenix residents and find that 31% have a passport. Conduct a hypothesis test around a proportion that tests whether fewer Phoenix residents have passports than the overall US. Use alpha = 0.05. What do you conclude?a. Fail to reject the null hypothesis. b. Reject the null hypothesis.