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

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.