A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because...
A. ...the students who strongly supported the change and those who only mildly supported the change are counted the same.
B. ...less than half of the students supported the change.
C. ...there are 3 possible outcomes, not 2.
D. 30 students are not enough for a good sample
C. ...there are 3 possible outcomes, not 2.
The correct answer is C. ...there are 3 possible outcomes, not 2.
A binomial model is used when there are only two possible outcomes for each trial, such as success or failure, yes or no, or support or not support. In this case, there are three possible outcomes: support, not support, and no opinion. Therefore, it does not fit the criteria for a binomial model.