Problem 2: Currently, 20% of potential customers buy soap of brand A. To increase sales, the company will conduct an extensive advertising campaign. At the end of the campaign, a sample

of 400 potential customers will be interviewed to determine whether the campaign was successful. a) State Ho and H₁ in terms of p, the probability that a customer prefers soap brand A. b) The company decides to conclude that the advertising campaign was a success if at least 92 of the 400 customers interviewed prefer brand A. Find a. (Use the normal approximation to the binomial distribution to evaluate the desired probability.)