The majority party of the U.S. House of Representatives for each year from 1973 to 2003 follow, where D and R represent Democrat and Republican, respectively

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

Test the sequence for randomness. Use a = 0.05.

(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.