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According to a Harris Interactive POll, 275 out of 1017 adults from the United S

ID: 3250760 • Letter: A

Question

According to a Harris Interactive POll, 275 out of 1017 adults from the United States answered yes to the question "Does climate change pose a large threat to the world?" Construct a 99% CI for the population proportion of adults from the United States who say that climate change poses a large threat to the world.

Show your graph and all work to calculate E. Clearly indicate if you used z or t in the calculation.

Confidence Interval:

B) The same question was asked of 1126 adults from Great Britian, to which 349 of them answered yes. Therefore, 99% CI for the population proportion of adults from Great Britian who say climate change poses a large threat to the world is (.275, .345). Compare the US and Great Britian CI's. Is it possible that the true proportion of adultys from the US and from Great Britian who think climate change poses a large threat could be almost equal? Use CI's to explain why or why not.

Explanation / Answer

A Here p=275/1017=0.27

SEp=sqrt(pq/n)=0.014

Hence Margin of Error=z*SEp=2.58*0.014=0.036

Hence CI=p+/-E=0.27+/-0.036=(0.234,0.306)

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