Most marketers at mid size companies feel overwhelmed by the number of technology vendor relationships they must manage. A study by DNN based on samples of 57 companies with 50–99 employees, 93 companies with 100–499 employees, 69 companies with 500–999 employees, and 81 companies with 1,000–5,000 employees reported that 19 of the companies with 50–99 employees, 44 of the companies with 100–499 employees, 43 of the companies with 500–999 employees, and 61 of the companies with 1,000–5,000 employees are working simultaneously with five or more vendors.

a. Is there evidence of a significant difference among companies of different sizes with respect to the proportion that are working simultaneously with five or more vendors ? (Use α= 0.05).

b. Determine the p value and interpret its meaning.