An Airport Security Officer Manually Searched Carry-On Bags of People

Essay

An airport security officer manually searched carry-on bags of people boarding a plane in the sequence shown,
where S represents a searched bag and N represents a bag not searched. Find the test statistic z to test for
randomness. $\begin{array}{lllllllll}\mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{S} & \mathrm{N} & \mathrm{N} & \mathrm{S}& \mathrm{S} \\ \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{S} & \mathrm{N} & \mathrm{N} \\\mathrm{N} & \mathrm{N} & \mathrm{S} & \mathrm{S} & \mathrm{S} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{S}& \mathrm{N} \\\mathrm{N} & \mathrm{S} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{S} & \mathrm{S}& \mathrm{N} & \mathrm{N}\\\mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{N} & \mathrm{S} & \mathrm{N} & \mathrm{N} & \mathrm{N} \end{array}$