Marketing analysts have determined that a particular advertising campaign should make at least 20% of the adult population aware of the advertised product. After a recent campaign, 400 adults were asked whether or not they had seen the ad and were aware of the new product.   What is the standard error of p¯? What is the probability that the sample proportion will be less than 15%? What is the probability that the sample proportion will be between 21.25% and 16.25%? What is the probability that the sample proportion will be more than 22.5%?

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Marketing analysts have determined that a particular advertising campaign should make at least 20% of the adult population aware of the advertised product. After a recent campaign, 400 adults were asked whether or not they had seen the ad and were aware of the new product.

 

  1. What is the standard error of p¯?
  2. What is the probability that the sample proportion will be less than 15%?
  3. What is the probability that the sample proportion will be between 21.25% and 16.25%?
  4. What is the probability that the sample proportion will be more than 22.5%?
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