In: Statistics and Probability
The owner of a restaurant that serves Continental-style entrées has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. She decided to study the i.) demand for dessert during this time period, ii.) the gender of the individual, and iii.) whether or not a beef entrée was ordered. Data were collected from 630 customers and organized in the following contingency tables:
gender
dessert ordered | male | female | total |
yes | 50 | 96 | 146 |
no | 250 | 234 | 484 |
total | 300 | 330 | 630 |
beef entree
dessert ordered | yes | no | total |
yes | 74 | 68 | 142 |
no | 123 | 365 | 488 |
total | 197 | 433 | 630 |
1. At the ? = 0.05 level of significance, is there evidence of a difference between males and females in the proportion who order dessert?
2. At the ? = 0.05 level of significance, is there evidence of a difference in the proportion who order dessert based on whether a beef entrée was ordered?