Name recognition, part II. The advertising companydescribed in Exercise 37 is thinking about signing aWNBA star to an endorsement deal. In its poll, 27% ofthe respondents could identify her.a) Fans who never took Statistics can’t understand whythe company did not offer this WNBA player an endorsement contract even though the 27% recog-nition rate in the poll is above the 25% threshold. Explain it to them.b) Suppose that further polling reveals that this WNBA star really is known to about 30% of the target audi-ence. Did the company initially commit a Type I or Type II error in not signing her?c) Would the power of the company’s test have beenhigher or lower if the player were more famous?Explain.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.