Protecting the environment When the General Social Survey most recently asked subjects whether they are a member of an environmental group (variable GRNGROUP) and whether they would be willing to pay higher prices to protect the environment (variable GRNPRICE), the results were as shown in the table.

For a randomly selected American adult:

a. Estimate the probability of being (i) a member of an environmental group and (ii) willing to pay higher prices to protect the environment.

b. Estimate the probability of being both a member of an environmental group and willing to pay higher prices to protect the environment.

c. Given the probabilities in part

a, show that the probability in part b is larger than it would be if the variables were independent. Interpret.

d. Estimate the probability that a person is a member of an environmental group or willing to pay higher prices to protect the environment. Do this (i) directly using the counts in the table and (ii) by applying the appropriate probability rule to the estimated probabilities found in parts a and b.

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Environmental Group Member (GRNGROUP) Pay Higher Prices (GRNPRICE) Yes Not Sure No Yes 293 71 66 No 2,211 1,184 1,386