Answer to Question #120834 in Economics for Praneeta Singh

Question

climate change a major issue in Pacific Island Countries (PICs)? To answer this question, a researcher surveys 1200 randomly selected individuals in PICs. Suppose 800 of the sampled people responded that climate change is a major issue for them.
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a) Construct a 95% confidence interval to estimate the population proportion of individuals in PICs who feel that climate change is a major issue for them. (7 marks)

b) Assume there are 800,000 populations in PICs. What is the minimum number of people in PICs that are concerned about climate change? (5 marks)

Answer 1

a) A 95% confidence interval mean that 800/1200 = 0.667 or 66.7% +- some percent of the population feel that climate change is a major issue for them. But we need to know the standard deviation to calculate the exact result.

b) If there are 800,000 populations in PICs, then the minimum number of people in PICs that are concerned about climate change is 66.7% minus the unknown amount from part a.