The majority party of the United States House of Representatives for each term (bi-annual) from 1973 to 2005 is shown below, where D and R represent Democrat and Republican, respectively. (Reference: Statistical Abstract of the United States.)DDDDDDDDDDDRRRRRR Test the sequence for randomness. Use ? = 0.05.(a) What is the level of significance? (b) Find the sample test statistic R, the number of runs. (c) Find the upper and lower critical values in the Critical Values for Number of Runs R table.

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Description: The majority party of the United States House of Representatives for each term (bi-annual) from 1973 to 2005 is shown below, where D and R represent Democrat and Republican, respectively. (Reference: Statistical Abstract of the United States.)DDDDDDD

Answered: (a) What is the level of significance?…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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The majority party of the United States House of Representatives for each term (bi-annual) from 1973 to 2005 is shown below, where D and R represent Democrat and Republican, respectively. (Reference: Statistical Abstract of the United States.)

Test the sequence for randomness. Use ? = 0.05.

(a) What is the level of significance?

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

Expert Solution

Step 1

(a)

The value of alpha is 0.05. Thus, the level of significance is 0.05.

(b)

The number of runs (blocks) exist in sequence is represented using the random variable R.

There are 11 D’s and 6 R’s in the sequence. That is, $n_{1} = 11, n_{2} = 6$ .

The block for the sequence is,

$D D D D D D D D D D D R R R R R R$

There are 2 blocks in the given sequence.

Hence, the sample test statistic R, the number of runs is 2.

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