Is the chance of getting a cold influenced by the number of social contacts a person has

Chapter 14, Problem 14.35

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Is the chance of getting a cold influenced by the number of social contacts a person has? A study by Sheldon Cohen, a psychology professor at Carnegie Melon University, seems to show that the more social relationships a person has, the less susceptible the person is to colds. A group of 276 healthy men and women were grouped according to their number of relationships (such as parent, friend, church member, and neighbor). They were then exposed to a virus that causes colds. A adaptation of the results is given in the following table.14 Number of Relationships 3 or fewer 4 or 5 6 or more Cold 49 43 34 No cold 31 57 62 Total 80 100 96 a Do the data present sufficient evidence to indicate that susceptibility to colds is affected by the number of relationships that people have? Test at the 5% level of significance. b Give bounds for the p-value.