For Exercises 19–22, do the following:

  1. Calculate the expected frequencies and verify that the conditions for performing the goodness of fit test are met.
  2. Find for the distribution with the given degrees of freedom. State the rejection rule.
  3. Calculate .
  4. Compare with . State the conclusion and the interpretation.

Question 11.19

19. level of significance

11.1.19

(a) , , ; conditions are met. (b) . Reject if . (c) 4.167 (d) Since is not , we do not reject . There is insufficient evidence that the random variable does not follow the distribution specified in .