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

question 25

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.
-A telemarketer solicited households to change their long-distance carrier. The results for one afternoon are
shown, where C represents the households that changed their carrier and S represents the households that kept
their existing carrier. Can you conclude that the sequence of results is random? Use $$\alpha$$ = 0.05. $$\begin{array} { l l l l l l l l l l l } \mathrm { C } & \mathrm { C } & \mathrm { C } & \mathrm { S } & \mathrm { C } & \mathrm { S } & \mathrm { C } & \mathrm { S } & \mathrm { S } & \mathrm { C } & \mathrm { C } \\\mathrm { S } & \mathrm { C } & \mathrm { S } & \mathrm { C } & \mathrm { S } & \mathrm { C } & \mathrm { S } & \mathrm { S } & \mathrm { C } & \mathrm { S } & \mathrm { C }\end{array}$$

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Definitions:

Scaly

Covered with scales or flaky skin, often indicating a skin condition.

Itching Rashes

Skin eruptions that are characterized by redness, itchiness, and sometimes swelling.

Sudoriferous Glands

Glands that produce sweat, involved in body temperature regulation and waste excretion.

Oil-Secreting

Pertaining to glands that produce and release oil for lubrication of skin or hair.