Provide an Appropriate Response $\alpha = 0.05$ Level of Significance That the Sequence Is Not Random

Multiple Choice

Provide an appropriate response.
-Test the hypothesis at the $\alpha = 0.05$ level of significance that the sequence is not random.
A A B B B A B A A A A B

A) $\mathrm { r } = 6$ ; lower critical value $= 3$ ; upper critical value $= 11$
Since $3 < \mathrm { r } < 11$ , we do not reject $\mathrm { H } _ { 0 }$ . There is not sufficient evidence to support the hypothesis that the sequence is not random.
B) $r = 6$ ; lower critical value $= 4$ ; upper critical value $= 13$
Since $4 < \mathrm { r } < 13$ , we do not reject $\mathrm { H } _ { 0 }$ . There is not sufficient evidence to support the hypothesis that the sequence is not random.
C) $\mathrm { r } = 3$ ; lower critical value $= 3$ ; upper critical value $= 11$
Since $\mathrm { r } \leq 3$ , we reject $\mathrm { H } _ { 0 }$ . There is sufficient evidence to support the hypothesis that the sequence is not random.
D) $\mathrm { r } = 3$ ; lower critical value $= 4$ ; upper critical value $= 13$
Since $\mathrm { r } \leq 4$ , we reject $\mathrm { H } _ { 0 }$ . There is sufficient evidence to support the hypothesis that the sequence is not random.