Provide an Appropriate Response $\alpha = 0.05$ Level of Significance to Support the Hypothesis That Cassie's Walk

question 3

Multiple Choice

Provide an appropriate response.
-Wanting to enjoy the beautiful weather, Cassie took a walk with no destination in mind. At each four-way intersection, she randomly decided to head either north or east. A summary of her walk is shown below.


Is there evidence at the $\alpha = 0.05$ level of significance to support the hypothesis that Cassie's walk was not random?

• A) \(z = - 0.26\) Since \(| \mathrm { z } | < \mathrm { z } _ { 0 } .025 = 1.96\), we do not reject \(\mathrm { H } _ { 0 }\). There is not sufficient evidence to support the hypothesis that her walk was not random.
• B) \(z = - 0.91\) Since \(| \mathrm { z } | < \mathrm { z } _ { 0 } .025 = 1.96\), we do not reject \(\mathrm { H } _ { 0 }\). There is not sufficient evidence to support the hypothesis that her walk was not random.
• C) \(z = - 5.43\) Since \(| \mathrm { z } | > \mathrm { z } _ { 0 } .025 = 1.96\), we reject \(\mathrm { H } _ { 0 }\). There is sufficient evidence to support the hypothesis that her walk was not random.
• D) \(z = - 3.50\) Since \(| z | > \mathrm { z } _ { 0 } .025 = 1.96\), we reject \(\mathrm { H } _ { 0 }\). There is sufficient evidence to support the hypothesis that her walk was not random.

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Definitions:

Hypothesis

A tentative explanation of the relationships among certain phenomena.

Sound Pitch

The auditory perception of the frequency of a sound wave, which determines the highness or lowness of a tone.

Branches of Linguistics

Various fields of study within the discipline of linguistics, including phonetics, phonology, morphology, syntax, semantics, pragmatics, and others, focusing on different aspects of language.

Linguistics

The scientific study of language and its structure, including the study of morphology, syntax, phonetics, and semantics.