The Carnegie Classification of Institutes of Higher Education categorizes colleges and universities on the basis of their research and degree-granting activities. Universities that grant doctoral...

The Carnegie Classification of Institutes of Higher Education categorizes colleges and universities on the basis of their research and degree-granting activities. Universities that grant doctoral degrees are placed into one of three classifications: highest research activity, higher research activity, or moderate research activity. The Carnegie classifications for public and not-for-profit private doctoral degree–granting universities follow.

Using a .05 level of significance, conduct a test of independence to determine whether Carnegie classification is independent of type of university for universities that grant doctoral degrees. What is the result for p-value?

Extracted text: Carnegie Classification Highest Research Activity Higher Research Activity Moderate Research Activity Type of University Public 81 76 38 Not-For-Profit Private 34 31 58