For the following observed and expected frequencies:

Observed 27 39 35 32 38 42

Expected 19 41 44 25 44 32

Test the hypothesis that the distribution of the observed frequencies is as given by the expected frequencies. Use the a =0.05

level of significance and the -value method with the TI-Plus calculator.

(a) State the null and alternate hypotheses.

(b) Find the

-value. Round the answer to at least four decimal places.

(c) Determine whether to reject

.

(d) State a conclusion.