Chi-Square Test for Homogeneity — Quiz

Question 7 • Statistics

What are the appropriate hypotheses to determine if the distribution of response differs among all customers who dine at this restaurant during peak and off-peak hours?

Answer

cap h sub 0 : There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. cap h sub A : There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.

cap h sub 0 : There is no difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours. cap h sub A : There is a difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours.

cap h sub 0 : There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. cap h sub A : There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.

cap h sub 0 : There is a difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours. cap h sub A : There is no difference in the distribution of service ratings among the 100 customers who dined at this restaurant during peak hours and the 70 customers who dined at this restaurant during off-peak hours.

Explanation

The hypotheses should describe the populations of interest: all customers dining during peak and off-peak hours, not just the sample of 100 and 70 customers. The null hypothesis states that the distributions of service ratings are the same; the alternative states that they differ. Therefore, choice A gives the appropriate hypotheses.

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