The image of the lowly prune is not very good. It is perceived as a product used by seniors to help avoid constipation. However, in reality it is a nutritious and (for many) a tasty treat. To help...

The image of the lowly prune is not very good. It is perceived as a product used by seniors to help avoid constipation. However, in reality it is a nutritious and (for many) a tasty treat. To help improve the image of the prune, a company that produces the product decided to see the effect of changing its name to dried plums (which is what a prune is). To gauge the effect, a random sample of shoppers was asked how likely it was that they would purchase the product. Half the sample was shown a package that identified its contents as prunes. The other half was shown packages labeled dried plums. The responses are Highly unlikely (1) Somewhat unlikely (2) Somewhat likely (3) Highly likely (4) a. Can we infer from these data that changing the name of prunes to dried plums increases the likelihood that shoppers will buy the product? b. Write a report to the marketing manager of the company and describe your findings.