8
QuizMultiple Choice

Chi-Square Test for Homogeneity — Quiz

Question 8 • Statistics

The conditions for inference are met. The test statistic is chi squared is equal to 13 point 8 8 and the cap p -value is between 0 point 0 0 5 and 0 point 0 1 What conclusion should be made using alpha is equal to 0 point 0 5 ?

Answer
A
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is not convincing evidence of a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
B
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is not convincing evidence of no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
C
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is convincing evidence of a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.
D
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is convincing evidence of no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.

Explanation

The p-value is between 0.005 and 0.01, so it is less than the significance level of 0.05. Therefore, reject the null hypothesis that service-rating distributions are the same during peak and off-peak hours. There is convincing evidence of a difference in the distributions among all customers who dine at this restaurant, which matches choice C.

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