A digital CEO is one of five behaviors important to raising an organization’s Digital IQ. A survey of business and IT executives found that 80% of automotive executives, 70% of financial services executives, 82% of health care executives, 59% of retail & consumer executives, and 76% of technology executives say their CEOs are active champions of using digital technology to achieve strategy. Suppose these results were based on 500 business and IT executives in each of the five industries: automotive, financial services, health care, retail & consumer, and technology.

a. At the 0.05 level of significance, is there evidence of a difference among the industries with respect to the proportion of executives that say their CEOs are active champions of using digital technology to achieve strategy?

b. Compute the p value and interpret its meaning.