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You are use the top 100 public college 2003 data set for these project this data set is found in the module taba in canvas,

You are use the top 100 public college 2003 data set for these project this data set is found in the module taba in canvas,

Virginia has six schools on this list, and North Carolina has 5. A researcher hypothesizes that the colleges in Virgiilia 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?
SECTIONI Perform an appropriate liypothesis test for these three questions using a-.10. Show all important values you use as part of your test, including the null hypothesis, alternate hypothesis, test statistic value, and eitlien the rejection region and critical value or p- value depending on the method you choose to use. State the result of your test in a complete seilfence in context of the question.
SECTION II Create 90% confidence intervals for the average 4-year graduation rate for the VA schools in the top 100 public Universities in 2003 and the NC schools in the top 100. Using these confidence intervals, what would you conclude about your three research questions? Why? SECTION III Did you find a different results using the confidence intervals than when you used hypothesis tests? If so, wliy do you think the results were different? If not, which method is better to answering your question?

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