A survey of the audience at a popular comedian's show at the Sydney Opera House has been conducted and found that 69 of the 287 members of the audience who participated in the survey are visitors to Sydney. (a) Calculate a 90% confidence interval for the proportion of audience members at the comedian's show who are visitors to Sydney. Present your work. (b) Interpret the confidence interval. (c) To conduct a new follow-up study that would provide 95% confidence that the point estimate is correct to within ±± 0.04 of the population proportion, how large a sample size is required?
A survey of the audience at a popular comedian's show at the Sydney Opera House has been conducted and found that 69 of the 287 members of the audience who participated in the survey are visitors to Sydney.
(a) Calculate a 90% confidence interval for the proportion of audience members at the comedian's show who are visitors to Sydney. Present your work.
(b) Interpret the confidence interval.
(c) To conduct a new follow-up study that would provide 95% confidence that the point estimate is correct to within ±± 0.04 of the population proportion, how large a sample size is required?
(d) To conduct a a new follow-up study that would provide 99% confidence that the point estimate is correct to within ±± 0.04 of the population proportion, how large a sample size is required?
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