A sample of 210 Bell computers has 56 defectives. Theory suggests that a third of all Bell computers should be defective. Does this data contradict the theory (at alpha=0.05)? Specifcially,
a) Do a z-test ,
b) Do a chi-squared test with k=2 categories. Hint: The pi's (and pi_0's) of the k categories must sum to 1.
c) Are the conclusions in a and b consistent?