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In an article in the Journal of Advertising, Weinberger and Spotts compare the u

ID: 3219917 • Letter: I

Question

In an article in the Journal 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 382 television ads in the United Kingdom reveals that 140 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. television ads that use humor. p cap = The 95 percent confidence interval is [, ] (b) Suppose a random sample of 492 ads in United States reveals that 119 of these ads use humor. Find a point estimate of and a 95 percent confidence for the proportion of U.S. television ads that use humor. p cap = The 95 percent confidence interval is [, ] (c) Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor? the UK 95% confidence interval is the maximum value in the confidence interval for the U.S.

Explanation / Answer

a) phat=140/382=0.366

std error=(p(1-p)/n)1/2 =0.0247

for 95% CI, z=1.96

hence confidence interval =phat -/+ z*std error =0.318 ; 0.415

b)

phat=119/492=0.242

std error=(p(1-p)/n)1/2 =0.019

for 95% CI, z=1.96

hence confidence interval =phat -/+ z*std error =0.204 ; 0.280

c)because the minimum value of the UK 95%,,,,,, is greater then the maxim.........

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