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, 60 of 400 adults sampled indicated that they had seen the ad and were aware of the new product.
a. Find the approximate probability of observing y # 60 given that 20% of the population is aware of the product through the campaign.
b. Based on your answer to part (a), does it appear the ad was successful? Explain.