Perform a Runs Test for Randomness $$\alpha$$ = 005

Essay

Perform a runs test for randomness. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-An airport security officer 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. Can you conclude that the officer conducted a
random search? Use $$\alpha$$ = 0.05. $\begin{array} { l l l l l l l l l l } \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { S } \\\mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } \\\mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { S } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } \\ \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { S } & \mathrm { N } & \mathrm { N } \\\mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { N } \end{array}$