Refer to Exercise 8.59. How many tweens should have been interviewed in order to

Chapter 8, Problem 8.73

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QUESTION:

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.

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QUESTION:

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.

ANSWER:

Step 1 of 2

We will use following:

Let  has binomial distribution with parameters  and . Then  confidence interval for  is defined by:

where  is estimate for probability .

Let  is estimate for unknown parameter  for distribution from which we observe some sample. Bound of error of this estimation is defined by:

bound of error = critical value  standard deviation.

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