Test the Following Sequence for Randomness At $\alpha = 0.05$
a A a A B B B a A

question 51

Multiple Choice

Test the following sequence for randomness at $\alpha = 0.05$ .
A A A A B B B A A A B B
Table of Critical Values for the Number of Runs, $\alpha = 0.05$
$\begin{array}{c|cccc}\text { Value of } &{\text { Value of } \boldsymbol{n}_{\mathbf{2}}} \\\boldsymbol{n}_{\mathbf{1}} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} \\\hline & 2 & 3 & 3 & 3 \\\mathbf{6} & 9 & 10 & 11 & 12 \\& 2 & 3 & 3 & 3 \\\mathbf{7} & 10 & 11 & 12 & 13 \\& 3 & 3 & 3 & 4 \\\mathbf{8} & 10 & 11 & 12 & 13\end{array}$

• A) Do not reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 10.
• B) Do not reject the hypothesis that the sequence is random, because the test value 4 is between the critical values 3 and 11.
• C) Do not reject the hypothesis that the sequence is random, because the test value 5 is outside the critical values 3 and 12.
• D) Reject the hypothesis that the sequence is random, because the test value 3 is between the critical values 3 and 11.