For Exercises 9.1 and 9.2, see page 458; for 9.3 and 9.4, see page 461; for 9.5 and 9.6, see page 462; for 9.7 and 9.8, see page 463; for 9.9 and 9.10, see page 465; for 9.11, see page 466; for 9.12 and 9.13, see page 471; for 9.14, see page 473; for 9.15, see page 474; and for 9.16, see page 475.

Question 9.1

9.1 Gender and commercial preference.

In Exercise 8.52 (page 439) we analyzed data from a study where women and men were asked to express a preference for one of two commercials, A or B. For the women, 44 out of 100 women preferred Commercial A. For the men, 79 out of 140 preferred Commercial A.

  1. For these data, do you want to consider one of these categorical variables as an explanatory variable and the other as a response variable? Give a reason for your answer.
  2. Display these data using an table. What are the values of and ? Which variable is the column variable and which is the row variable? Give a reason for your choice.
  3. How many cells will that table have?
  4. Add the marginal totals to your table.

9.1

(a) Gender is the explanatory and Commercial preference is the response because we are interested in how gender influences commercial preference. (b) . Gender is the column variable because it is the explanatory variable; commercial preference is the row variable because it is the response variable. (c) 4 cells.