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People were surveyed worldwide, being asked the question \"How important is acqu

ID: 3291153 • Letter: P

Question

People were surveyed worldwide, being asked the question "How important is acquiring wealth to you?" Of 1549 respondents in country A, 1129 said that it was of more than average importance. In country B, of 1314 respondents, 585 said it was of more than average importance. a) What proportion thought acquiring wealth was of more than average importance in each country's sample? b) Create a 99% confidence interval for the percentage of people who thought it was of more than average importance in country A. Be sure to test conditions.) Compare that to a confidence interval for the country B population. a) The sample proportions are for country A and for country B. b) What is the confidence interval for country A? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The 99% confidence interval for country A is (%, %). B. The conditions for constructing a confidence interval are not satisfied. Compare to the confidence interval for country B. Choose the correct answer below. A. It appears that the proportion of adults who feel this way in country A is about the same as those in country B. B. It appears that the proportion of adults who feel this way in country A is more than those in country B. C. It appears that the proportion of adults who feel this way in country B is more than those in country A. D. It is not possible to make a comparison because the conditions for creating a confidence interval are not satisfied.

Explanation / Answer

a) Sample proportion for country A = 1129/1549 = 0.729

Sample proportion for country B = 585/1314 = 0.445

b) Since the question asked can have multiple responses because of open ended nature,

The condition for constructing the confidence interval is not satisfied. So,

Confidence interval for country A: Option B is correct.

Comparison with confidence interval for country B: Option D is correct.

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