Question

An advertising agency conducted an ad campaign aimed at making consumers in an Eastern state aware of a new product. Upon completion of the campaign, the agency claimed that 21 percent of consumers in the state had become aware of the product. The product’s distributor surveyed 991 consumers in the state and found that 171 were aware of the product. (a) Assuming that the ad agency’s claim is true: (2) Calculate the mean, μ, and the standard deviation, σ, we should use in the normal approximation.(Round μ to 2 decimal places. Round σ to 4 decimal places.) μ σ (3) Find the probability that 171 or fewer consumers in a random sample of 991 consumers would be aware of the product. (Round z value to 2 decimal places. Round your answer to 4 decimal places.) Probability (b) Should the distributor believe the ad agency’s claim?

Answer 1