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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