Ex. 17,18

(c) Female 16. In a poll conducted on January 22, 2004, out of a random sample of 600 people, 450 stated they were in favor of the war against Iraq. Construct a (a) 90 percent (b) 95 percent (c) 99 percent confidence interval estimate of p, the proportion of the population in favor of the war at the time. 17. The poll mentioned in Prob. 16 was quoted in the January 28, 2004. San Francisco Chronicle, where it was stated that "75 percent of the popu- lation are in favor, with a margin of error of plus or minus 4 percentage points." (a) Explain why the Chronicle should have stated that the margin of error is plus or minus 3.46 percentage points. (b) Explain how the Chronicle erred to come up with the value of +4 percent. 18. A recent newspaper poll indicated that candidate A is favored over can- didate B by a 53-to-47 percentage, with a margin of error of 14 percent. The newspaper then stated that since the 6-point gap is larger than the margin of error, its readers can be certain that candidate A is the current choice. Is this reasoning correct