in the context of these data? 5.24 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. Pay Higher Prices (GRNPRICE) Yes Not Sure No Environmental Group Member (GRNGROUP) Yes 293 71 66 No 2,211 1,184 1,386 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. Given the probabilities in part a, show that the proba- bility in part b is larger than it would be if the variables were independent. Interpret. с. d. Estimate the probability that a person is a member of an environmental group or to protect the environment. Do this (i) directly using the counts in the table and (ii) by applying the appro- priate probability rule to the estimated probabilities found in parts a and b. willing to pay higher prices

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in the context of these data?
5.24 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.
Pay Higher Prices
(GRNPRICE)
Yes
Not Sure
No
Environmental Group
Member (GRNGROUP)
Yes
293
71
66
No
2,211
1,184
1,386
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.
Transcribed Image Text:in the context of these data? 5.24 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. Pay Higher Prices (GRNPRICE) Yes Not Sure No Environmental Group Member (GRNGROUP) Yes 293 71 66 No 2,211 1,184 1,386 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.
Given the probabilities in part a, show that the proba-
bility in part b is larger than it would be if the variables
were independent. Interpret.
с.
d. Estimate the probability that a person is a member of
an environmental group or
to protect the environment. Do this (i) directly using
the counts in the table and (ii) by applying the appro-
priate probability rule to the estimated probabilities
found in parts a and b.
willing to pay higher prices
Transcribed Image Text:b. Estimate the probability of being both a member of an environmental group and willing to pay higher prices to protect the environment. Given the probabilities in part a, show that the proba- bility in part b is larger than it would be if the variables were independent. Interpret. с. d. Estimate the probability that a person is a member of an environmental group or to protect the environment. Do this (i) directly using the counts in the table and (ii) by applying the appro- priate probability rule to the estimated probabilities found in parts a and b. willing to pay higher prices
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