A social psychologist is interested in finding out whether people who self-identify as introverted are more likely to attend certain types of colleges. He surveys college-bound graduating seniors and asks them what type of college they plan to attend and whether or not they consider themselves introverted. The following frequency distribution table summarizes the responses to the two survey questions. College Type
Liberal Arts College 4-Year University Community or Junior College Agricultural, Technical or Specialized College Others Total
Extroverted 218 346 255 82 9 910
Introverted 41 111 1258 48 21
Total 259 1513 130 30

The following questions walk through the steps of a test of the null hypothesis that a student's choice of college type is independent of whether he self-identifies as introverted.

If a student's choice of college type is independent of whether he self-identifies as introverted, then the expected frequency for the Introverted/4-Year University category is .