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

Question 11

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.
 chocolate neopolitan  chocolate neopolitan  neopolitan  neopolitan  chocolate  neopolitan  chocolate  chocolate  neopolitan  chocolate  neopolitan chocolate  neopolitan  chocolate  neopolitan  chocolate neopolitan  chocolate \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 α=0.05\alpha = 0.05 level of significance to support the hypothesis that the flavor order is not random?


A) r=17r = 17 ; lower critical value =6= 6 ; upper critical value =16= 16
Since r16r \geq 16 , we reject H0\mathrm { H } _ { 0 } . There is sufficient evidence to support the hypothesis that the sequence is not random.
B) r=16r = 16 ; lower critical value =7= 7 ; upper critical value =18= 18
Since 7<r<187 < \mathrm { r } < 18 , we do not reject H0\mathrm { H } _ { 0 } . There is not sufficient evidence to support the hypothesis that the sequence is not random.
C) r=18r = 18 ; lower critical value =7= 7 ; upper critical value =18= 18
Since r18r \geq 18 , we reject H0\mathrm { H } _ { 0 } . There is sufficient evidence to support the hypothesis that the sequence is not random.
D) r=15r = 15 ; lower critical value == 6; upper critical value =16= 16
Since 7<r<187 < \mathrm { r } < 18 , we do not reject H0\mathrm { H } _ { 0 } . There is not sufficient evidence to support the hypothesis that the sequence is not random.

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