An insurance investigator has observed that people with some astrological signs tend to be safer drivers than people with other signs. Using insurance records, the investigator classified 200 people according to their astrological signs and whether or not they were involved in a car accident during the previous 12 months. The data are as follows:

Libra: accident-7, no accident- 73

Leo- accident-4, no accident-46

Gemini- accident-19, no accident- 51

a) How many degrees of freedom are involved?

b) What is the calculated value of chi-square?

c) Assuming the .05 level of significance, what would you conclude?