In a study of factors that regulate behavior, 3 kinds of subjects are identified: overcontrollers, average controllers and undercontrollers. Each subject is given the routine task of filling a box with buttons, and all subjects are told that they can stop whenever they wish. Whenever a subject indicates he/she wishes to stop, the experimenter asks: "Don't you want to continue?" The number of subjects in each group who stop and the number of those who continue are given below. The purpose of the study is to determine whether decision to continue in response to the experimenter's influence depends on the kind of subject. Overcontrollers: (Continue, Stop)=(9, 9); Average controllers: (Continue, Stop)=(8, 12); Undercontrollers: (Continue, Stop)= (3, 14).

1)Which kind of subjects has the highest percentage in the "stop" category?

undercontrollers

average controllers

unknown

overcontrollers

2)For computing the test statistic chi-square in this application, the expected count for the cell (overcontrollers, stop) is

11.5

9.3

25

5.6

3)For the chi-square test of association between two categorical variables summarized in the above, how many degrees of freedom does the test statistic chi-square have?

1

2

3

4

4)What decision is reached in the test of association between decision to stop or continue and the kind of subject (overcontroller, average controller, undercontroller) at 0.05 level of significance?

The decision to continue in response to experimenter's influence is related to the kind of subject (overcontroller, average controller, undercontroller)

The decision to continue in response to experimenter's influence is not related to the kind of subject (overcontroller, average controller, undercontroller)