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Refer to Exercise 8.59. How many ’tweens should have been interviewed in order to estimate the proportion of ’tweens who understand and enjoy ads that are silly in nature, correct to within .02, with probability .99? Use the proportion from the previous sample in approximating the standard error of the estimate.
When it comes to advertising, “’tweens” are not ready for the hard-line messages that advertisers often use to reach teenagers. The Geppeto Group study6 found that 78% of ’tweens understand and enjoy ads that are silly in nature. Suppose that the study involved n = 1030 ’tweens.
a Construct a 90% confidence interval for the proportion of ’tweens who understand and enjoy ads that are silly in nature.
b Do you think that “more than 75%” of all ’tweens enjoy ads that are silly in nature? Why?
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Mathematical Statistics with Applications
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