A sample of 100 public school tenth graders, 80 private school tenth graders, and 50 technical school tenth graders was taken. Each student was asked to identify the category of person that most...

A sample of 100 public school tenth graders, 80 private school tenth graders, and 50 technical school tenth graders was taken. Each student was asked to identify the category of person that most affected their life. The results are listed in Table 12.20.

(a) Do the data indicate that there is a difference in the way the students

answered the question? (Use α = 0:05.)

(b) Does there seem to be a problem with using the χ²
test to answer part (a)? What is the problem and how would you solve it? Reanalyze the data after applying your solution. Do the results change?