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The owner of a restaurant that serves a particular style of entrees wants to study the demand for dessert during the Friday-to-Sunday weekend time
The owner of a restaurant that serves a particular style of entrees wants to study the demand for dessert during the Friday-to-Sunday weekend time period. She decides that in addition to studying whether a dessert was ordered, she will also study the gender of the individual and whether a beef entree was ordered. Data were collected from 640 customers and organized in the accompanying contingency tables. Complete parts (a) through (c) below. Click the icon to view the data about desserts. a. For each of the two contingency tables, construct contingency tables of row percentages, column percentages, and total percentages. Find the row percentages for each gender. DESSERT ORDERED Yes No Total GENDER Male Female Total % % % % % % % % % (Round to two decimal places as needed.) Find the column percentages for each gender. GENDER DESSERT ORDERED Male Female Total Yes % % % No % % % Total % % % (Round to two decimal places as needed.) Find the total percentages for each gender. GENDER DESSERT ORDERED Yes No Total Male Female Total % % % % % % % % % (Round to two decimal places as needed.) BEEF ENTREE DESSERT ORDERED Yes Yes % No % Total % Round to two decimal places as needed.) Find the column percentages for beef entrees. DESSERT ORDERED Yes No Total No de de de % Total % % % % BEEF ENTREE Yes No Total % % % % % % % % % (Round to two decimal places as needed.) Find the total percentages for beef entrees. DESSERT ORDERED Yes No Total BEEF ENTREE Yes No Total % % % % % % % % % (Round to two decimal places as needed.) b. Which type of percentage (row, column, or total) is most informative for each gender? Explain. A. If the owner is interested in finding the percentages of males or females who order dessert, the row percentages are most informative. If the owner is interested in the effect of gender on ordering dessert, the column percentages are most informative. OB. If the owner is interested in finding the percentages of males or females who order dessert, the column percentages are most informative. If the owner is interested in the effect of gender on ordering dessert, the row percentages are most informative. C. If the owner is interested in finding the percentage of male or female patrons, the total percentages are most informative. If the owner is interested in the effect of gender on ordering dessert, the column percentages are most informative. OD. If the owner is interested in finding the percentage of male or female patrons, the column percentages are most informative. If the owner is interested in the effect of gender on ordering dessert, the total percentages are most informative. Which type of percentage (row, column, or total) is most informative for beef entree? Explain. A. If the owner is interested in finding the percentage of patrons that ordered a beef entree, the row percentages are most informative. If the owner is interested in the effect of ordering a beef entree on ordering dessert, the column percentages are most informative. OB. If the owner is interested in finding the percentage of those who order a beef entree and dessert among all patrons, the column percentages are most informative. If the owner is interested in the effect of ordering a beef entree on ordering dessert, the row percentages are most informative. OC. If the owner is interested in finding the percentage of patrons that ordered a beef entree, the total percentages are most informative. If the owner is interested in finding the percentage of those who order a beef entree and dessert among all patrons, the row percentages are most informative. OD. If the owner is interested in finding the percentage of those who order a beef entree and dessert among all patrons, the total percentages are most informative. If the owner is interested in the effect of ordering a beef entree on ordering dessert, the row percentages are most informative. c. What conclusions concerning the pattern of dessert ordering can the restaurant owner reach? Women are to order dessert than men. Patrons ordering beef are to order dessert than patrons ordering other entrees. Dessert data GENDER DESSERT ORDERED Male Female Total Yes 49 86 135 No 270 235 505 Total 319 321 640 BEEF ENTREE DESSERT ORDERED Yes No Total Yes 66 69 135 No 144 361 505 Total 210 430 640
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