Use the Runs Test to Determine Whether the Given Sequence

question 147

Multiple Choice

Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. The outcomes (odd number or even number) of a roulette wheel are shown below.
Test for randomness of odd (O) and even (E) numbers. Use a significance level of 0.05. $$\begin{array} { l l l l l l l l l l l l } \mathrm { O } & \mathrm { E } & \mathrm { O } & \mathrm { E } & \mathrm { O } & \mathrm { E } & \mathrm { O } & \mathrm { E } & \mathrm { E } & \mathrm { O } & \mathrm { E } & \mathrm { E } \\\mathrm { E } & \mathrm { E } & \mathrm { O } & \mathrm { E } & \mathrm { O } & \mathrm { O } & \mathrm { E } & \mathrm { O } & \mathrm { E } & \mathrm { E } & \mathrm { O } & \mathrm { E }\end{array}$$ What is the value of G, the number of runs?

• A)10
• B)14
• C)17
• D)18

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Definitions:

One-sided

Information or arguments presented from a single perspective without acknowledgment or consideration of alternate viewpoints.

High Discrepancy

A significant difference between current states or conditions and desired or expected standards, often motivating change or action to reduce the gap.

Low Discrepancy

Refers to a small gap or difference between two states or conditions, often used in psychology and marketing.

Emotional Appeals

Persuasive techniques that attempt to affect the audience's emotions in order to gain their support or change their opinion.