A popular restaurant wants to assess if there are any differences between customers who come at different times of day (morning, noon, and night) and whether or not they order something from the drinks menu. On Sunday, the restaurant had 203 customers who came in the morning, 411 who came at noon, and 542 who came at night. They found that 569 customers ordered a drink: 19 in the morning, 114 at noon, and 436 at night.
(a) State a null and alterative hypothesis for your study.
(b) Draw a two-way table for the data with marginal totals by hand.
(c) How many customers ate at the restaurant on this day?
(d) Calculate the expected cell counts for each cell by hand.
(e) Compute the value of χ2 by hand.
(f) What are the degrees of freedom associated with the test statistic χ2?
(g) Should you reject the null hypothesis at α=0.05? Why or why not? State your answer in the context of the study.