A national newspaper conducts a survey of US adults in which respondents who were simple random...

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A national newspaper conducts a survey of US adults in which respondents who were simple random sampled we asked one question: "Which city was the original capital of the USA?" Of 1750 respondents, 225 gave the correct answer. Check for normality, and if possible find and interpret (a) 91% and 99.5% confidence intervals for the true population pro- portion of US adults who know that the original capital of the USA was Philadelphia, PA. (b) that the errorE for a 97% confidence interval is no more than Find the sample size you would need to have taken so .0001. A national newspaper conducts a survey of US adults in which respondents who were simple random sampled we asked one question: "Which city was the original capital of the USA?" Of 1750 respondents, 225 gave the correct answer. Check for normality, and if possible find and interpret (a) 91% and 99.5% confidence intervals for the true population pro- portion of US adults who know that the original capital of the USA was Philadelphia, PA. (b) that the errorE for a 97% confidence interval is no more than Find the sample size you would need to have taken so .0001.