For each successive presidential term from Teddy Roosevelt to George W. Bush (­rst term), the party affi­liation controlling the White House follow, where R designates Republican and D designates Democrat.

R R R D D R R D D D D D R D R R D R R R D D R

(a) What is the level of signifi­cance? State the null and alternate hypotheses.

(b) Find the sample test statistic R, the number of runs.

(c) Find the upper and lower critical values in Table 10 of Appendix II.

(d) Conclude the test.

(e) Interpret the conclusion in the context of the application.