(7) A political party claims that its presidential candidate has 55% support in
ID: 3322409 • Letter: #
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(7) A political party claims that its presidential candidate has 55% support in the New England states. To test this claim, a political fact-checking agency took a random sample of 1225 voting age people from the New England states and found that 685 of them supported that particular candidate. Construct a 99% confidence interval for the true, unknown percentage of support for that candidate in New England. Looking at this confidence interval, does the political party's claim appear believable? What is the significance level (or alpha level) of your verdict? [3.5Explanation / Answer
n 1225 p 0.559183673 z-value of 99% CI 2.5758 SE = sqrt(p*(1-p)/n) 0.01419 ME = z*SE 0.03654 Lower Limit = p - ME 0.52264 Upper Limit = p + ME 0.59572 99% CI (0.5226 , 0.5957 )
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