A sample of 276 healthy adult volunteers were asked about the variety of social networks that they were in (e.g., relationships with parents, close neighbors, workmates, etc.).They were then given nasal drops containing a rhinovirus and were quarantined for 5 days. Of the 123 subjects who were in five or fewer types of social relationships 57 (46.3%) developed colds. Of 153 who were in at least six types of social relationships 52 (34.0%) developed colds. Thus, the data suggest that having more types of social relationships helps one develop resistance to the common cold. Determine whether this difference is statistically significant. That is, use a chi-square test to test the null hypothesis that the probability of getting a cold does not depend on the number of social relationships a person is in following the five steps (a-e) in Exercise 10.2.4. Use a non directional alternative and let α = 0.05.