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

question 20

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.

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