Steriods, which are dangerous, are sometimes used to improve athletic performance. A study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors in Illinois. Results showed that 34 of the freshmen and 24 of the seniors had used anabolic steroids. Estimate at a 95% confidence level the difference between the proportion of freshmen using steroids in Illinois and the proportion of seniors using steroids in Illinois.Explain how the results from this confidence interval are consistent with the findings from a significance test that indicated that there was no statistically significant difference between the two groups.Had you used a 99% confidence interval, would this have provided more convincing evidence of no difference? Explain why or why not.If you wished to redo this experiment so that a 99% confidence interval would be within ‡ 2%, how many people would you need in each age group? Assume that both groups will have the same number of people.