Do Australians consider global warming to be a major issue of concern to them? Several surveys about this issue have been conducted over the years. A well-known polling company included this question in their recent nation-wide opinion poll for which 1255 Australians were randomly selected. Of these, 214 responded that global warming was a major issue of concern to them.

a) What is the point estimate of the proportion of Australians who feel that global warming is a major issue of concern to them.

b) Construct and report a 95% confidence interval to estimate the proportion of Australians who feel that global warming is a major issue of concern to them.

c) What conditions must be met in order for us to construct a confidence interval estimator of proportion used in Part (b) above? Explain if this condition has been met in this case.