Use the Runs Test to Determine Whether the Given Sequence

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. A sample
of 30 clock radios is selected in sequence from an assembly line. Each radio is examined and judged to be
acceptable (A) or defective (D). The results are shown below. Test for randomness. $$\begin{array} { | l l l l l l l l l l | } \hline \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { D } \\\mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { A } \\\mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } \\\hline\end{array}$$