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According to a recent TGI Friday's restaurants' random survey of 1027 Americans, approximately half (47%) say that ketchup is their preferred burger condiment. The survey quoted a margin of error of +/- 3.1%. (Question 9.70)

(a) Describe how this survey of 1027 Americans fits the properties of a binomial experiment. Specifically identify n, a trial, succes, p and x.
(b) What is the point estimate for the proportion of all Americans who prefer ketchup on their burger? Is it a paremeter or a stistic?
(c) Calculate the 95% confidence maximum error of estimate for a binomial experiment of 1027 trials that result in an observed proportion of .47.
(d) How is the maximum error, found in part (c), related to the 3.1% margin of error quoted in the survey report?
(e) Find the 95% confidence interval for the true proportion p based on a binomial experiment of 1027 trials that result in an observed proportion of .47.

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