According to the Association of American Medical Colleges, only 46% of medical school applicants were admitted to a medical school in the fall of 2006.5 Upon hearing this, the trustees of Striving College expressed concern that only 77 of the 180 students in their class of 2006 who applied to medical school were admitted. The college president assured the trustees that this was just the kind of year-to-year fluctuation in fortunes that is to be expected and that, in fact, the school s success rate was consistent with the national average. Who is right?
a) What are the hypotheses?
b) Verify that the conditions are satisfied and find the P-value.
c) Are the trustees right to be concerned, or is the president correct? Explain.