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

question 8

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. $\begin{array} { l l l l l l l l l l } \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { S } \\\mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } \\\mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { S } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } \\ \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { S } & \mathrm { N } & \mathrm { N } \\\mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { N } & \mathrm { S } & \mathrm { N } & \mathrm { N } & \mathrm { N } \end{array}$

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Definitions:

Myomalacia

The softening of muscle tissue due to disease or injury.

-malacia

A suffix used in medical terminology to denote a pathological softening of tissues, often used in the context of diseases affecting specific organs.

High-frequency Current

Electrical current characterized by a high rate of oscillation, used in various applications including medical treatments and radio transmissions.

Diathermy

A medical and surgical technique involving the use of high-frequency electric currents to generate heat in body tissues, used to stimulate blood circulation, relieve pain, and destroy unhealthy tissue.