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.

---

Definitions:

Random Samples

Random samples are a method of selecting a subset of individuals from a population in which each individual has an equal chance of being chosen, used to ensure generalizability of results.

Naturalistic Observation

Observing and recording behavior in naturally occurring situations without trying to manipulate and control the situation.

Chimpanzee Societies

Complex social structures formed by chimpanzees, characterized by hierarchical ranks, cooperation, and communication.

Economic Status

The social standing or class of an individual or group often measured by income, wealth, education, and occupation.