Provide an Appropriate Response Is There Evidence at The $\alpha = 0.05$

question 52

Multiple Choice

Provide an appropriate response.
-The two flavors of ice cream in a taste test are supposed to be administered to respondents in a random fashion. Suspecting that the administrators of the test did not follow the randomness rule, the project statistician examines the flavor order for the day's taste testing, shown below.
$\begin{array} { l l l l l } \text { chocolate neopolitan } & \text { chocolate neopolitan } & \text { neopolitan } \\ \text { neopolitan } & \text { chocolate } & \text { neopolitan } & \text { chocolate } & \text { chocolate } \\ \text { neopolitan } & \text { chocolate } & \text { neopolitan chocolate } & \text { neopolitan } \\ \text { chocolate } & \text { neopolitan } & \text { chocolate neopolitan } & \text { chocolate } \end{array}$
Is there evidence at the $\alpha = 0.05$ level of significance to support the hypothesis that the flavor order is not random?

• A) \(r = 17\); lower critical value \(= 6\); upper critical value \(= 16\)
• Since \(r \geq 16\), we reject \(\mathrm { H } _ { 0 }\). There is sufficient evidence to support the hypothesis that the sequence is not random.
• B) \(r = 16\); lower critical value \(= 7\); upper critical value \(= 18\)
• Since \(7 < \mathrm { r } < 18\), we do not reject \(\mathrm { H } _ { 0 }\). There is not sufficient evidence to support the hypothesis that the sequence is not random.
• C) \(r = 18\); lower critical value \(= 7\); upper critical value \(= 18\)
• Since \(r \geq 18\), we reject \(\mathrm { H } _ { 0 }\). There is sufficient evidence to support the hypothesis that the sequence is not random.
• D) \(r = 15\); lower critical value \(=\) 6; upper critical value \(= 16\)
• Since \(7 < \mathrm { r } < 18\), we do not reject \(\mathrm { H } _ { 0 }\). There is not sufficient evidence to support the hypothesis that the sequence is not random.

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Definitions:

Silence Interpretation

How individuals perceive and understand the absence of verbal communication, which can vary across contexts and cultures.

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A personality type characterized by competitiveness, time urgency, and a higher stress level, thought to have a greater risk of heart disease.

Achievement Task

Activities or goals set with the purpose of demonstrating or testing one's own ability to accomplish a specific achievement.

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Benefits or incentives provided by an external source, such as money or praise, which motivate individuals to perform certain actions.