6. value: 10.00 points In an article in the Jounal of Advertising, Weinberger an
ID: 2936585 • Letter: 6
Question
6. value: 10.00 points In an article in the Jounal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and the United Kingdom. They found that a substantially greater percentage of U.K. ads use humor. (a) Suppose that a random sample of 380 television ads in the United Kingdom reveals that 140 of these U.K. television ads that use humor. (Round your answers to 3 decimal places.) The 95 percent confidence interval is (b) Suppose a random sample of 470 television ads in the United States reveals that 112 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.S television ads that use humor. (Round your answers to 3 decimal places.) The 95 percent confidence interval isExplanation / Answer
(a) Sample television ads = 380 ; number of adds use humor = 140
Proportion, p = 140/380 = 0.368
95% confidence interval = p +- Z0.025 (p(1-p)/n)0.5 where standard error = (p(1-p)/n)0.5
CI = 0.368 +- 1.96 ((0.368(1-0.368)/380)0.5
Confidence interval = (0.320, 0.416)
(b) Sample television ads in US = 470 ; number of adds use humor = 112
Proportion, p = 112/470 = 0.238
95% confidence interval = p +- Z0.025 (p(1-p)/n)0.5 where standard error = (p(1-p)/n)0.5
CI = 0.238 +- 1.96((0.238(1-0.238)/470)0.5
Confidence interval = (0.199, 0.277)
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