Statistics

Virginia has six schools on this list, and North Carolina has 5. A researcher hypothesizes that the colleges in Virginia and North Carolina have high four-year graduation rates. This project addresses these hypothesis by asking the following questions: (1) Is the average 4-year graduation rate for the Virginia colleges in the top 100 public Universities greater than the average of all the top 100 public colleges, and (2) Is the average 4-year graduation rate for the North Carolina colleges in the top 100 public Universities greater than the average of all the top 100 public colleges? SECTION I Perform an appropriate hypothesis test for these two questions using =.10. Show all important values you use as part of your test, including the null hypothesis, alternate hypothesis, test statistic value, and either the rejection region and critical value or p-value depending on the method you choose to use. State the result of your test in context of the question. SECTION II Create a 90% confidence interval for the average 4-year graduation rate for the top 100 public Universities in 2003. Using this confidence interval, what would you conclude about your research questions? Why? SECTION III Did you find a different result than when you used hypothesis test? If so, why do you think the results were different? If not, which method is better to answering your question? Does one method give you better information than the other?