Industrial Marketing Management (Vol. 25,1996) puhlished a study that examined the demographics, decision-making roles, and time demands of product managers. Independent samples of n, = 93 consumer/commercial product managers and n2 = 212 industrial product managers took part in the study. In the consumer/commercial group, 40% of the product managers are 40 years of age or older; in the industrial group, 54% are 40 or more years old. Make an inference about the difference between the true proportions of consumer/commercial and industrial product managers who are at least 40 years old. Justify your choice of method (confidence interval or hypothesis test) and a level. Do industrial product managers tend to be older than consumer/commercial product managers?