Scientists predict that global warming may have big effects on the polar regions within the next 100 years. One of the possible effects is that the northern ice cap may completely melt. Would this bother you a great deal, some, a little, or not at all if it actually happened? (a) A great deal (b) Some (c) A little (d) Not at all The General Social Survey (GSS) asks this question to all Americans, below is the distribution of responses from the 2010 survey: A great deal 454 Some 124 A little 52 Not at all 50 Total 680 The same question was asked of 88 Duke students, of which 56 said it would bother them a great deal. Assume that the attitudes of Duke students in the sample are independent of each other, and attitudes of US residents in the sample are independent of each other as well. Also assume the sampled Duke students and the US residents are independent of each other. 1.2.1 Use the pooled proportional z-test for the hypotheses testing if the proportion of all Duke students who would be bothered a great deal by the melting of the northern ice cap differs from the proportion of all Americans who are also bothered a great deal by the melting of the northern ice caps? Use a 0.01 level of significance.

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Scientists predict that global warming may have big effects on the polar regions within the next
100 years. One of the possible effects is that the northern ice cap may completely melt. Would
this bother you a great deal, some, a little, or not at all if it actually happened?
(a) A great deal
(b) Some
(c) A little
(d) Not at all
The General Social Survey (GSS) asks this question to all Americans, below is the distribution of
responses from the 2010 survey:
A great deal
454
Some
124
A little
52
Not at all
50
Total
680
The same question was asked of 88 Duke students, of which 56 said it would bother them a great
deal. Assume that the attitudes of Duke students in the sample are independent of each other,
and attitudes of US residents in the sample are independent of each other as well. Also assume
the sampled Duke students and the US residents are independent of each other.
1.2.1 Use the pooled proportional z-test for the hypotheses testing if the proportion of all
Duke students who would be bothered a great deal by the melting of the northern ice
cap differs from the proportion of all Americans who are also bothered a great deal by
the melting of the northern ice caps? Use a 0.01 level of significance.
Transcribed Image Text:Scientists predict that global warming may have big effects on the polar regions within the next 100 years. One of the possible effects is that the northern ice cap may completely melt. Would this bother you a great deal, some, a little, or not at all if it actually happened? (a) A great deal (b) Some (c) A little (d) Not at all The General Social Survey (GSS) asks this question to all Americans, below is the distribution of responses from the 2010 survey: A great deal 454 Some 124 A little 52 Not at all 50 Total 680 The same question was asked of 88 Duke students, of which 56 said it would bother them a great deal. Assume that the attitudes of Duke students in the sample are independent of each other, and attitudes of US residents in the sample are independent of each other as well. Also assume the sampled Duke students and the US residents are independent of each other. 1.2.1 Use the pooled proportional z-test for the hypotheses testing if the proportion of all Duke students who would be bothered a great deal by the melting of the northern ice cap differs from the proportion of all Americans who are also bothered a great deal by the melting of the northern ice caps? Use a 0.01 level of significance.
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