1 A group separated into men and women are asked their prefe
1. A group separated into men and women are asked their preference toward certain types of candy bars. The following table gives the results.
Which of the following statements are true?
I. The variables gender and candy bar types are independent.
II. For these data, ?2 = 0.
III. The variables gender and types of candy bars are related.
2. A controversial issue in sports is the use of the \"instant replay\" for making decisions on plays that are extremely close or hard to call by an official. A survey of players in each of four professional sports was conducted, asking them if they felt \"instant replays\" should be used to decide close or controversial calls. The results are as follows:
In testing to see whether opinion with respect to the use of instant replays is independent of sport, a table of expected frequencies is found. In this table, the expected number of professional baseball players opposing the use of instant replays is equal to:
3. For the following two-way table, compute the value of c2.
2.63
1.22
2.04
1.89
1.45
4.
In the paper \"Color Association of Male and Female Fourth-Grade School Children\" (J. Psych., 1988, 383-8), children were asked to indicate what emotion they associated with the color red. The response and the sex of the child are noted and summarized below. The first number in each cell is the count, the second number is the row percent.
| Chocolate | Non-Chocolate | |
| Men | 20 | 5 |
| Women | 12 | 3 |
Solution
(1) Answer: D I and II only
| Chocolate | Non-Chocolate | Total | ||
| Men | Observed | 20 | 5 | 25 |
| Expected | 20.00 | 5.00 | 25.00 | |
| (O - E) |
