(1) Dropouts The National Center for Education Statistics reports that the high school dropout rate is 5.3%. Due to tougher standards and high-stakes tests, teachers in New York State believe that the high school dropout rate in New York State differs from the national rate. (a) Define the relevant parameter and state the null and alternative hypothesis. (b) The teachers select a random sample and construct a 95% confidence interval of (0.049, 0.061). Using the confidence interval, what is the conclusion of the test? Include an indication of the significance level. (c) State the conclusion of test in context