Question: A recent report claims that 45% of enlisted personnel who have spent at least four years and no more than ten in the service complete a bachelor’s degree, 25% complete some college work, 15% do not seek additional college-level training, and 15% are not accounted for. You want to see how the frequencies found in the population compare with a particular local Navy base, so you take a simple random sample of 500 enlisted sailors who have completed between four and ten years in the Navy. You find that 275 completed a college degree, 88 have completed some college work, 37 have not sought additional college-level training, and the rest of the sailors are not accounted for. How does your sample compare to what you expected to find.

Solution:

a. To see how your local Naval base compares to the report of all enlisted personnel, you will use a Chi-Square test

b. The null hypothesis is